第 17597 題：函數列逐點收斂

原題與已知條件

同一有限domain上的symbolic rational function tail。操作=pointwise-finite-prefix-boundary；資料={"limit":[21,22],"coefficients":[22,-23],"shift":2,"prefix_length":22}。請依 [prefix_length,value_rows,sufficient,boundary] 欄序回答。

• G001 — 同一有限domain上的symbolic rational function tail。操作=pointwise-finite-prefix-boundary；資料={"limit":[21,22],"coefficients":[22,-23],"shift":2,"prefix_length":22}。請依 [prefix_length,value_rows,sufficient,boundary] 欄序回答。

定義與適用範圍

沿用原題明示的論域、假設與來源 MKO 定義。本題已完成第二對話數理與中英語義覆核，並由原始參數逐題獨立重算模型、答案與每個算術步驟；原題仍為 candidate。

• mko-pointwise-convergence-of-functions

逐步推導

same COMPLETE finite domain Fin(2);original aligned limits=[21, 22];signed coefficients=[22, -23];positive shift=2

declared for EVERY n>=0:f_n(x)=limit[x]+coefficient[x]/(n+shift);signed error=f_n(x)-limit[x]=coefficient[x]/(n+shift)

finite prefix point0 index0 denominator := sum(0, 2)

finite prefix point0 index0 denominator = 2

finite prefix point0 index0 signed correction := div(22, 2)

finite prefix point0 index0 signed correction = 11

finite prefix point0 index0 function value := sum(21, 11)

finite prefix point0 index0 function value = 32

finite prefix point0 index0 reverse signed error := sub(32, 21)

finite prefix point0 index0 reverse signed error = 11

finite prefix point0 index0:original point=0;n=0;limit=21;signed coefficient=22

f_n(x)=32;f_n(x)-limit=11;this error field remains SIGNED

finite prefix point0 index1 denominator := sum(1, 2)

finite prefix point0 index1 denominator = 3

finite prefix point0 index1 signed correction := div(22, 3)

finite prefix point0 index1 signed correction = 22/3

finite prefix point0 index1 function value := sum(21, 22/3)

finite prefix point0 index1 function value = 85/3

finite prefix point0 index1 reverse signed error := sub(85/3, 21)

finite prefix point0 index1 reverse signed error = 22/3

finite prefix point0 index1:original point=0;n=1;limit=21;signed coefficient=22

f_n(x)=85/3;f_n(x)-limit=22/3;this error field remains SIGNED

finite prefix point0 index2 denominator := sum(2, 2)

finite prefix point0 index2 denominator = 4

finite prefix point0 index2 signed correction := div(22, 4)

finite prefix point0 index2 signed correction = 11/2

finite prefix point0 index2 function value := sum(21, 11/2)

finite prefix point0 index2 function value = 53/2

finite prefix point0 index2 reverse signed error := sub(53/2, 21)

finite prefix point0 index2 reverse signed error = 11/2

finite prefix point0 index2:original point=0;n=2;limit=21;signed coefficient=22

f_n(x)=53/2;f_n(x)-limit=11/2;this error field remains SIGNED

finite prefix point0 index3 denominator := sum(3, 2)

finite prefix point0 index3 denominator = 5

finite prefix point0 index3 signed correction := div(22, 5)

finite prefix point0 index3 signed correction = 22/5

finite prefix point0 index3 function value := sum(21, 22/5)

finite prefix point0 index3 function value = 127/5

finite prefix point0 index3 reverse signed error := sub(127/5, 21)

finite prefix point0 index3 reverse signed error = 22/5

finite prefix point0 index3:original point=0;n=3;limit=21;signed coefficient=22

f_n(x)=127/5;f_n(x)-limit=22/5;this error field remains SIGNED

finite prefix point0 index4 denominator := sum(4, 2)

finite prefix point0 index4 denominator = 6

finite prefix point0 index4 signed correction := div(22, 6)

finite prefix point0 index4 signed correction = 11/3

finite prefix point0 index4 function value := sum(21, 11/3)

finite prefix point0 index4 function value = 74/3

finite prefix point0 index4 reverse signed error := sub(74/3, 21)

finite prefix point0 index4 reverse signed error = 11/3

finite prefix point0 index4:original point=0;n=4;limit=21;signed coefficient=22

f_n(x)=74/3;f_n(x)-limit=11/3;this error field remains SIGNED

finite prefix point0 index5 denominator := sum(5, 2)

finite prefix point0 index5 denominator = 7

finite prefix point0 index5 signed correction := div(22, 7)

finite prefix point0 index5 signed correction = 22/7

finite prefix point0 index5 function value := sum(21, 22/7)

finite prefix point0 index5 function value = 169/7

finite prefix point0 index5 reverse signed error := sub(169/7, 21)

finite prefix point0 index5 reverse signed error = 22/7

finite prefix point0 index5:original point=0;n=5;limit=21;signed coefficient=22

f_n(x)=169/7;f_n(x)-limit=22/7;this error field remains SIGNED

finite prefix point0 index6 denominator := sum(6, 2)

finite prefix point0 index6 denominator = 8

finite prefix point0 index6 signed correction := div(22, 8)

finite prefix point0 index6 signed correction = 11/4

finite prefix point0 index6 function value := sum(21, 11/4)

finite prefix point0 index6 function value = 95/4

finite prefix point0 index6 reverse signed error := sub(95/4, 21)

finite prefix point0 index6 reverse signed error = 11/4

finite prefix point0 index6:original point=0;n=6;limit=21;signed coefficient=22

f_n(x)=95/4;f_n(x)-limit=11/4;this error field remains SIGNED

finite prefix point0 index7 denominator := sum(7, 2)

finite prefix point0 index7 denominator = 9

finite prefix point0 index7 signed correction := div(22, 9)

finite prefix point0 index7 signed correction = 22/9

finite prefix point0 index7 function value := sum(21, 22/9)

finite prefix point0 index7 function value = 211/9

finite prefix point0 index7 reverse signed error := sub(211/9, 21)

finite prefix point0 index7 reverse signed error = 22/9

finite prefix point0 index7:original point=0;n=7;limit=21;signed coefficient=22

f_n(x)=211/9;f_n(x)-limit=22/9;this error field remains SIGNED

finite prefix point0 index8 denominator := sum(8, 2)

finite prefix point0 index8 denominator = 10

finite prefix point0 index8 signed correction := div(22, 10)

finite prefix point0 index8 signed correction = 11/5

finite prefix point0 index8 function value := sum(21, 11/5)

finite prefix point0 index8 function value = 116/5

finite prefix point0 index8 reverse signed error := sub(116/5, 21)

finite prefix point0 index8 reverse signed error = 11/5

finite prefix point0 index8:original point=0;n=8;limit=21;signed coefficient=22

f_n(x)=116/5;f_n(x)-limit=11/5;this error field remains SIGNED

finite prefix point0 index9 denominator := sum(9, 2)

finite prefix point0 index9 denominator = 11

finite prefix point0 index9 signed correction := div(22, 11)

finite prefix point0 index9 signed correction = 2

finite prefix point0 index9 function value := sum(21, 2)

finite prefix point0 index9 function value = 23

finite prefix point0 index9 reverse signed error := sub(23, 21)

finite prefix point0 index9 reverse signed error = 2

finite prefix point0 index9:original point=0;n=9;limit=21;signed coefficient=22

f_n(x)=23;f_n(x)-limit=2;this error field remains SIGNED

finite prefix point0 index10 denominator := sum(10, 2)

finite prefix point0 index10 denominator = 12

finite prefix point0 index10 signed correction := div(22, 12)

finite prefix point0 index10 signed correction = 11/6

finite prefix point0 index10 function value := sum(21, 11/6)

finite prefix point0 index10 function value = 137/6

finite prefix point0 index10 reverse signed error := sub(137/6, 21)

finite prefix point0 index10 reverse signed error = 11/6

finite prefix point0 index10:original point=0;n=10;limit=21;signed coefficient=22

f_n(x)=137/6;f_n(x)-limit=11/6;this error field remains SIGNED

finite prefix point0 index11 denominator := sum(11, 2)

finite prefix point0 index11 denominator = 13

finite prefix point0 index11 signed correction := div(22, 13)

finite prefix point0 index11 signed correction = 22/13

finite prefix point0 index11 function value := sum(21, 22/13)

finite prefix point0 index11 function value = 295/13

finite prefix point0 index11 reverse signed error := sub(295/13, 21)

finite prefix point0 index11 reverse signed error = 22/13

finite prefix point0 index11:original point=0;n=11;limit=21;signed coefficient=22

f_n(x)=295/13;f_n(x)-limit=22/13;this error field remains SIGNED

finite prefix point0 index12 denominator := sum(12, 2)

finite prefix point0 index12 denominator = 14

finite prefix point0 index12 signed correction := div(22, 14)

finite prefix point0 index12 signed correction = 11/7

finite prefix point0 index12 function value := sum(21, 11/7)

finite prefix point0 index12 function value = 158/7

finite prefix point0 index12 reverse signed error := sub(158/7, 21)

finite prefix point0 index12 reverse signed error = 11/7

finite prefix point0 index12:original point=0;n=12;limit=21;signed coefficient=22

f_n(x)=158/7;f_n(x)-limit=11/7;this error field remains SIGNED

finite prefix point0 index13 denominator := sum(13, 2)

finite prefix point0 index13 denominator = 15

finite prefix point0 index13 signed correction := div(22, 15)

finite prefix point0 index13 signed correction = 22/15

finite prefix point0 index13 function value := sum(21, 22/15)

finite prefix point0 index13 function value = 337/15

finite prefix point0 index13 reverse signed error := sub(337/15, 21)

finite prefix point0 index13 reverse signed error = 22/15

finite prefix point0 index13:original point=0;n=13;limit=21;signed coefficient=22

f_n(x)=337/15;f_n(x)-limit=22/15;this error field remains SIGNED

finite prefix point0 index14 denominator := sum(14, 2)

finite prefix point0 index14 denominator = 16

finite prefix point0 index14 signed correction := div(22, 16)

finite prefix point0 index14 signed correction = 11/8

finite prefix point0 index14 function value := sum(21, 11/8)

finite prefix point0 index14 function value = 179/8

finite prefix point0 index14 reverse signed error := sub(179/8, 21)

finite prefix point0 index14 reverse signed error = 11/8

finite prefix point0 index14:original point=0;n=14;limit=21;signed coefficient=22

f_n(x)=179/8;f_n(x)-limit=11/8;this error field remains SIGNED

finite prefix point0 index15 denominator := sum(15, 2)

finite prefix point0 index15 denominator = 17

finite prefix point0 index15 signed correction := div(22, 17)

finite prefix point0 index15 signed correction = 22/17

finite prefix point0 index15 function value := sum(21, 22/17)

finite prefix point0 index15 function value = 379/17

finite prefix point0 index15 reverse signed error := sub(379/17, 21)

finite prefix point0 index15 reverse signed error = 22/17

finite prefix point0 index15:original point=0;n=15;limit=21;signed coefficient=22

f_n(x)=379/17;f_n(x)-limit=22/17;this error field remains SIGNED

finite prefix point0 index16 denominator := sum(16, 2)

finite prefix point0 index16 denominator = 18

finite prefix point0 index16 signed correction := div(22, 18)

finite prefix point0 index16 signed correction = 11/9

finite prefix point0 index16 function value := sum(21, 11/9)

finite prefix point0 index16 function value = 200/9

finite prefix point0 index16 reverse signed error := sub(200/9, 21)

finite prefix point0 index16 reverse signed error = 11/9

finite prefix point0 index16:original point=0;n=16;limit=21;signed coefficient=22

f_n(x)=200/9;f_n(x)-limit=11/9;this error field remains SIGNED

finite prefix point0 index17 denominator := sum(17, 2)

finite prefix point0 index17 denominator = 19

finite prefix point0 index17 signed correction := div(22, 19)

finite prefix point0 index17 signed correction = 22/19

finite prefix point0 index17 function value := sum(21, 22/19)

finite prefix point0 index17 function value = 421/19

finite prefix point0 index17 reverse signed error := sub(421/19, 21)

finite prefix point0 index17 reverse signed error = 22/19

finite prefix point0 index17:original point=0;n=17;limit=21;signed coefficient=22

f_n(x)=421/19;f_n(x)-limit=22/19;this error field remains SIGNED

finite prefix point0 index18 denominator := sum(18, 2)

finite prefix point0 index18 denominator = 20

finite prefix point0 index18 signed correction := div(22, 20)

finite prefix point0 index18 signed correction = 11/10

finite prefix point0 index18 function value := sum(21, 11/10)

finite prefix point0 index18 function value = 221/10

finite prefix point0 index18 reverse signed error := sub(221/10, 21)

finite prefix point0 index18 reverse signed error = 11/10

finite prefix point0 index18:original point=0;n=18;limit=21;signed coefficient=22

f_n(x)=221/10;f_n(x)-limit=11/10;this error field remains SIGNED

finite prefix point0 index19 denominator := sum(19, 2)

finite prefix point0 index19 denominator = 21

finite prefix point0 index19 signed correction := div(22, 21)

finite prefix point0 index19 signed correction = 22/21

finite prefix point0 index19 function value := sum(21, 22/21)

finite prefix point0 index19 function value = 463/21

finite prefix point0 index19 reverse signed error := sub(463/21, 21)

finite prefix point0 index19 reverse signed error = 22/21

finite prefix point0 index19:original point=0;n=19;limit=21;signed coefficient=22

f_n(x)=463/21;f_n(x)-limit=22/21;this error field remains SIGNED

finite prefix point0 index20 denominator := sum(20, 2)

finite prefix point0 index20 denominator = 22

finite prefix point0 index20 signed correction := div(22, 22)

finite prefix point0 index20 signed correction = 1

finite prefix point0 index20 function value := sum(21, 1)

finite prefix point0 index20 function value = 22

finite prefix point0 index20 reverse signed error := sub(22, 21)

finite prefix point0 index20 reverse signed error = 1

finite prefix point0 index20:original point=0;n=20;limit=21;signed coefficient=22

f_n(x)=22;f_n(x)-limit=1;this error field remains SIGNED

finite prefix point0 index21 denominator := sum(21, 2)

finite prefix point0 index21 denominator = 23

finite prefix point0 index21 signed correction := div(22, 23)

finite prefix point0 index21 signed correction = 22/23

finite prefix point0 index21 function value := sum(21, 22/23)

finite prefix point0 index21 function value = 505/23

finite prefix point0 index21 reverse signed error := sub(505/23, 21)

finite prefix point0 index21 reverse signed error = 22/23

finite prefix point0 index21:original point=0;n=21;limit=21;signed coefficient=22

f_n(x)=505/23;f_n(x)-limit=22/23;this error field remains SIGNED

finite prefix point1 index0 denominator := sum(0, 2)

finite prefix point1 index0 denominator = 2

finite prefix point1 index0 signed correction := div(-23, 2)

finite prefix point1 index0 signed correction = -23/2

finite prefix point1 index0 function value := sum(22, -23/2)

finite prefix point1 index0 function value = 21/2

finite prefix point1 index0 reverse signed error := sub(21/2, 22)

finite prefix point1 index0 reverse signed error = -23/2

finite prefix point1 index0:original point=1;n=0;limit=22;signed coefficient=-23

f_n(x)=21/2;f_n(x)-limit=-23/2;this error field remains SIGNED

finite prefix point1 index1 denominator := sum(1, 2)

finite prefix point1 index1 denominator = 3

finite prefix point1 index1 signed correction := div(-23, 3)

finite prefix point1 index1 signed correction = -23/3

finite prefix point1 index1 function value := sum(22, -23/3)

finite prefix point1 index1 function value = 43/3

finite prefix point1 index1 reverse signed error := sub(43/3, 22)

finite prefix point1 index1 reverse signed error = -23/3

finite prefix point1 index1:original point=1;n=1;limit=22;signed coefficient=-23

f_n(x)=43/3;f_n(x)-limit=-23/3;this error field remains SIGNED

finite prefix point1 index2 denominator := sum(2, 2)

finite prefix point1 index2 denominator = 4

finite prefix point1 index2 signed correction := div(-23, 4)

finite prefix point1 index2 signed correction = -23/4

finite prefix point1 index2 function value := sum(22, -23/4)

finite prefix point1 index2 function value = 65/4

finite prefix point1 index2 reverse signed error := sub(65/4, 22)

finite prefix point1 index2 reverse signed error = -23/4

finite prefix point1 index2:original point=1;n=2;limit=22;signed coefficient=-23

f_n(x)=65/4;f_n(x)-limit=-23/4;this error field remains SIGNED

finite prefix point1 index3 denominator := sum(3, 2)

finite prefix point1 index3 denominator = 5

finite prefix point1 index3 signed correction := div(-23, 5)

finite prefix point1 index3 signed correction = -23/5

finite prefix point1 index3 function value := sum(22, -23/5)

finite prefix point1 index3 function value = 87/5

finite prefix point1 index3 reverse signed error := sub(87/5, 22)

finite prefix point1 index3 reverse signed error = -23/5

finite prefix point1 index3:original point=1;n=3;limit=22;signed coefficient=-23

f_n(x)=87/5;f_n(x)-limit=-23/5;this error field remains SIGNED

finite prefix point1 index4 denominator := sum(4, 2)

finite prefix point1 index4 denominator = 6

finite prefix point1 index4 signed correction := div(-23, 6)

finite prefix point1 index4 signed correction = -23/6

finite prefix point1 index4 function value := sum(22, -23/6)

finite prefix point1 index4 function value = 109/6

finite prefix point1 index4 reverse signed error := sub(109/6, 22)

finite prefix point1 index4 reverse signed error = -23/6

finite prefix point1 index4:original point=1;n=4;limit=22;signed coefficient=-23

f_n(x)=109/6;f_n(x)-limit=-23/6;this error field remains SIGNED

finite prefix point1 index5 denominator := sum(5, 2)

finite prefix point1 index5 denominator = 7

finite prefix point1 index5 signed correction := div(-23, 7)

finite prefix point1 index5 signed correction = -23/7

finite prefix point1 index5 function value := sum(22, -23/7)

finite prefix point1 index5 function value = 131/7

finite prefix point1 index5 reverse signed error := sub(131/7, 22)

finite prefix point1 index5 reverse signed error = -23/7

finite prefix point1 index5:original point=1;n=5;limit=22;signed coefficient=-23

f_n(x)=131/7;f_n(x)-limit=-23/7;this error field remains SIGNED

finite prefix point1 index6 denominator := sum(6, 2)

finite prefix point1 index6 denominator = 8

finite prefix point1 index6 signed correction := div(-23, 8)

finite prefix point1 index6 signed correction = -23/8

finite prefix point1 index6 function value := sum(22, -23/8)

finite prefix point1 index6 function value = 153/8

finite prefix point1 index6 reverse signed error := sub(153/8, 22)

finite prefix point1 index6 reverse signed error = -23/8

finite prefix point1 index6:original point=1;n=6;limit=22;signed coefficient=-23

f_n(x)=153/8;f_n(x)-limit=-23/8;this error field remains SIGNED

finite prefix point1 index7 denominator := sum(7, 2)

finite prefix point1 index7 denominator = 9

finite prefix point1 index7 signed correction := div(-23, 9)

finite prefix point1 index7 signed correction = -23/9

finite prefix point1 index7 function value := sum(22, -23/9)

finite prefix point1 index7 function value = 175/9

finite prefix point1 index7 reverse signed error := sub(175/9, 22)

finite prefix point1 index7 reverse signed error = -23/9

finite prefix point1 index7:original point=1;n=7;limit=22;signed coefficient=-23

f_n(x)=175/9;f_n(x)-limit=-23/9;this error field remains SIGNED

finite prefix point1 index8 denominator := sum(8, 2)

finite prefix point1 index8 denominator = 10

finite prefix point1 index8 signed correction := div(-23, 10)

finite prefix point1 index8 signed correction = -23/10

finite prefix point1 index8 function value := sum(22, -23/10)

finite prefix point1 index8 function value = 197/10

finite prefix point1 index8 reverse signed error := sub(197/10, 22)

finite prefix point1 index8 reverse signed error = -23/10

finite prefix point1 index8:original point=1;n=8;limit=22;signed coefficient=-23

f_n(x)=197/10;f_n(x)-limit=-23/10;this error field remains SIGNED

finite prefix point1 index9 denominator := sum(9, 2)

finite prefix point1 index9 denominator = 11

finite prefix point1 index9 signed correction := div(-23, 11)

finite prefix point1 index9 signed correction = -23/11

finite prefix point1 index9 function value := sum(22, -23/11)

finite prefix point1 index9 function value = 219/11

finite prefix point1 index9 reverse signed error := sub(219/11, 22)

finite prefix point1 index9 reverse signed error = -23/11

finite prefix point1 index9:original point=1;n=9;limit=22;signed coefficient=-23

f_n(x)=219/11;f_n(x)-limit=-23/11;this error field remains SIGNED

finite prefix point1 index10 denominator := sum(10, 2)

finite prefix point1 index10 denominator = 12

finite prefix point1 index10 signed correction := div(-23, 12)

finite prefix point1 index10 signed correction = -23/12

finite prefix point1 index10 function value := sum(22, -23/12)

finite prefix point1 index10 function value = 241/12

finite prefix point1 index10 reverse signed error := sub(241/12, 22)

finite prefix point1 index10 reverse signed error = -23/12

finite prefix point1 index10:original point=1;n=10;limit=22;signed coefficient=-23

f_n(x)=241/12;f_n(x)-limit=-23/12;this error field remains SIGNED

finite prefix point1 index11 denominator := sum(11, 2)

finite prefix point1 index11 denominator = 13

finite prefix point1 index11 signed correction := div(-23, 13)

finite prefix point1 index11 signed correction = -23/13

finite prefix point1 index11 function value := sum(22, -23/13)

finite prefix point1 index11 function value = 263/13

finite prefix point1 index11 reverse signed error := sub(263/13, 22)

finite prefix point1 index11 reverse signed error = -23/13

finite prefix point1 index11:original point=1;n=11;limit=22;signed coefficient=-23

f_n(x)=263/13;f_n(x)-limit=-23/13;this error field remains SIGNED

finite prefix point1 index12 denominator := sum(12, 2)

finite prefix point1 index12 denominator = 14

finite prefix point1 index12 signed correction := div(-23, 14)

finite prefix point1 index12 signed correction = -23/14

finite prefix point1 index12 function value := sum(22, -23/14)

finite prefix point1 index12 function value = 285/14

finite prefix point1 index12 reverse signed error := sub(285/14, 22)

finite prefix point1 index12 reverse signed error = -23/14

finite prefix point1 index12:original point=1;n=12;limit=22;signed coefficient=-23

f_n(x)=285/14;f_n(x)-limit=-23/14;this error field remains SIGNED

finite prefix point1 index13 denominator := sum(13, 2)

finite prefix point1 index13 denominator = 15

finite prefix point1 index13 signed correction := div(-23, 15)

finite prefix point1 index13 signed correction = -23/15

finite prefix point1 index13 function value := sum(22, -23/15)

finite prefix point1 index13 function value = 307/15

finite prefix point1 index13 reverse signed error := sub(307/15, 22)

finite prefix point1 index13 reverse signed error = -23/15

finite prefix point1 index13:original point=1;n=13;limit=22;signed coefficient=-23

f_n(x)=307/15;f_n(x)-limit=-23/15;this error field remains SIGNED

finite prefix point1 index14 denominator := sum(14, 2)

finite prefix point1 index14 denominator = 16

finite prefix point1 index14 signed correction := div(-23, 16)

finite prefix point1 index14 signed correction = -23/16

finite prefix point1 index14 function value := sum(22, -23/16)

finite prefix point1 index14 function value = 329/16

finite prefix point1 index14 reverse signed error := sub(329/16, 22)

finite prefix point1 index14 reverse signed error = -23/16

finite prefix point1 index14:original point=1;n=14;limit=22;signed coefficient=-23

f_n(x)=329/16;f_n(x)-limit=-23/16;this error field remains SIGNED

finite prefix point1 index15 denominator := sum(15, 2)

finite prefix point1 index15 denominator = 17

finite prefix point1 index15 signed correction := div(-23, 17)

finite prefix point1 index15 signed correction = -23/17

finite prefix point1 index15 function value := sum(22, -23/17)

finite prefix point1 index15 function value = 351/17

finite prefix point1 index15 reverse signed error := sub(351/17, 22)

finite prefix point1 index15 reverse signed error = -23/17

finite prefix point1 index15:original point=1;n=15;limit=22;signed coefficient=-23

f_n(x)=351/17;f_n(x)-limit=-23/17;this error field remains SIGNED

finite prefix point1 index16 denominator := sum(16, 2)

finite prefix point1 index16 denominator = 18

finite prefix point1 index16 signed correction := div(-23, 18)

finite prefix point1 index16 signed correction = -23/18

finite prefix point1 index16 function value := sum(22, -23/18)

finite prefix point1 index16 function value = 373/18

finite prefix point1 index16 reverse signed error := sub(373/18, 22)

finite prefix point1 index16 reverse signed error = -23/18

finite prefix point1 index16:original point=1;n=16;limit=22;signed coefficient=-23

f_n(x)=373/18;f_n(x)-limit=-23/18;this error field remains SIGNED

finite prefix point1 index17 denominator := sum(17, 2)

finite prefix point1 index17 denominator = 19

finite prefix point1 index17 signed correction := div(-23, 19)

finite prefix point1 index17 signed correction = -23/19

finite prefix point1 index17 function value := sum(22, -23/19)

finite prefix point1 index17 function value = 395/19

finite prefix point1 index17 reverse signed error := sub(395/19, 22)

finite prefix point1 index17 reverse signed error = -23/19

finite prefix point1 index17:original point=1;n=17;limit=22;signed coefficient=-23

f_n(x)=395/19;f_n(x)-limit=-23/19;this error field remains SIGNED

finite prefix point1 index18 denominator := sum(18, 2)

finite prefix point1 index18 denominator = 20

finite prefix point1 index18 signed correction := div(-23, 20)

finite prefix point1 index18 signed correction = -23/20

finite prefix point1 index18 function value := sum(22, -23/20)

finite prefix point1 index18 function value = 417/20

finite prefix point1 index18 reverse signed error := sub(417/20, 22)

finite prefix point1 index18 reverse signed error = -23/20

finite prefix point1 index18:original point=1;n=18;limit=22;signed coefficient=-23

f_n(x)=417/20;f_n(x)-limit=-23/20;this error field remains SIGNED

finite prefix point1 index19 denominator := sum(19, 2)

finite prefix point1 index19 denominator = 21

finite prefix point1 index19 signed correction := div(-23, 21)

finite prefix point1 index19 signed correction = -23/21

finite prefix point1 index19 function value := sum(22, -23/21)

finite prefix point1 index19 function value = 439/21

finite prefix point1 index19 reverse signed error := sub(439/21, 22)

finite prefix point1 index19 reverse signed error = -23/21

finite prefix point1 index19:original point=1;n=19;limit=22;signed coefficient=-23

f_n(x)=439/21;f_n(x)-limit=-23/21;this error field remains SIGNED

finite prefix point1 index20 denominator := sum(20, 2)

finite prefix point1 index20 denominator = 22

finite prefix point1 index20 signed correction := div(-23, 22)

finite prefix point1 index20 signed correction = -23/22

finite prefix point1 index20 function value := sum(22, -23/22)

finite prefix point1 index20 function value = 461/22

finite prefix point1 index20 reverse signed error := sub(461/22, 22)

finite prefix point1 index20 reverse signed error = -23/22

finite prefix point1 index20:original point=1;n=20;limit=22;signed coefficient=-23

f_n(x)=461/22;f_n(x)-limit=-23/22;this error field remains SIGNED

finite prefix point1 index21 denominator := sum(21, 2)

finite prefix point1 index21 denominator = 23

finite prefix point1 index21 signed correction := div(-23, 23)

finite prefix point1 index21 signed correction = -1

finite prefix point1 index21 function value := sum(22, -1)

finite prefix point1 index21 function value = 21

finite prefix point1 index21 reverse signed error := sub(21, 22)

finite prefix point1 index21 reverse signed error = -1

finite prefix point1 index21:original point=1;n=21;limit=22;signed coefficient=-23

f_n(x)=21;f_n(x)-limit=-1;this error field remains SIGNED

finite observed length=22;complete domain-order rows=[[0, [32, 85/3, 53/2, 127/5, 74/3, 169/7, 95/4, 211/9, 116/5, 23, 137/6, 295/13, 158/7, 337/15, 179/8, 379/17, 200/9, 421/19, 221/10, 463/21, 22, 505/23]], [1, [21/2, 43/3, 65/4, 87/5, 109/6, 131/7, 153/8, 175/9, 197/10, 219/11, 241/12, 263/13, 285/14, 307/15, 329/16, 351/17, 373/18, 395/19, 417/20, 439/21, 461/22, 21]]]

prefix-alone sufficiency=否;finite_prefix_not_pointwise_convergence_certificate

逐步反向核對

• S222 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S221 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S220 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index21 reverse signed error，不以小數近似替代。
• S219 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index21 function value，不以小數近似替代。
• S218 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index21 signed correction，不以小數近似替代。
• S217 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index21 denominator，不以小數近似替代。
• S216 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S215 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index20 reverse signed error，不以小數近似替代。
• S214 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index20 function value，不以小數近似替代。
• S213 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index20 signed correction，不以小數近似替代。
• S212 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index20 denominator，不以小數近似替代。
• S211 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S210 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index19 reverse signed error，不以小數近似替代。
• S209 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index19 function value，不以小數近似替代。
• S208 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index19 signed correction，不以小數近似替代。
• S207 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index19 denominator，不以小數近似替代。
• S206 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S205 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index18 reverse signed error，不以小數近似替代。
• S204 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index18 function value，不以小數近似替代。
• S203 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index18 signed correction，不以小數近似替代。
• S202 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index18 denominator，不以小數近似替代。
• S201 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S200 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index17 reverse signed error，不以小數近似替代。
• S199 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index17 function value，不以小數近似替代。
• S198 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index17 signed correction，不以小數近似替代。
• S197 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index17 denominator，不以小數近似替代。
• S196 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S195 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index16 reverse signed error，不以小數近似替代。
• S194 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index16 function value，不以小數近似替代。
• S193 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index16 signed correction，不以小數近似替代。
• S192 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index16 denominator，不以小數近似替代。
• S191 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S190 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index15 reverse signed error，不以小數近似替代。
• S189 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index15 function value，不以小數近似替代。
• S188 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index15 signed correction，不以小數近似替代。
• S187 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index15 denominator，不以小數近似替代。
• S186 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S185 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index14 reverse signed error，不以小數近似替代。
• S184 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index14 function value，不以小數近似替代。
• S183 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index14 signed correction，不以小數近似替代。
• S182 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index14 denominator，不以小數近似替代。
• S181 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S180 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index13 reverse signed error，不以小數近似替代。
• S179 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index13 function value，不以小數近似替代。
• S178 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index13 signed correction，不以小數近似替代。
• S177 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index13 denominator，不以小數近似替代。
• S176 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S175 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index12 reverse signed error，不以小數近似替代。
• S174 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index12 function value，不以小數近似替代。
• S173 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index12 signed correction，不以小數近似替代。
• S172 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index12 denominator，不以小數近似替代。
• S171 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S170 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index11 reverse signed error，不以小數近似替代。
• S169 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index11 function value，不以小數近似替代。
• S168 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index11 signed correction，不以小數近似替代。
• S167 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index11 denominator，不以小數近似替代。
• S166 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S165 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index10 reverse signed error，不以小數近似替代。
• S164 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index10 function value，不以小數近似替代。
• S163 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index10 signed correction，不以小數近似替代。
• S162 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index10 denominator，不以小數近似替代。
• S161 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S160 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index9 reverse signed error，不以小數近似替代。
• S159 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index9 function value，不以小數近似替代。
• S158 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index9 signed correction，不以小數近似替代。
• S157 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index9 denominator，不以小數近似替代。
• S156 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S155 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index8 reverse signed error，不以小數近似替代。
• S154 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index8 function value，不以小數近似替代。
• S153 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index8 signed correction，不以小數近似替代。
• S152 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index8 denominator，不以小數近似替代。
• S151 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S150 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index7 reverse signed error，不以小數近似替代。
• S149 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index7 function value，不以小數近似替代。
• S148 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index7 signed correction，不以小數近似替代。
• S147 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index7 denominator，不以小數近似替代。
• S146 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S145 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index6 reverse signed error，不以小數近似替代。
• S144 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index6 function value，不以小數近似替代。
• S143 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index6 signed correction，不以小數近似替代。
• S142 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index6 denominator，不以小數近似替代。
• S141 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S140 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index5 reverse signed error，不以小數近似替代。
• S139 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index5 function value，不以小數近似替代。
• S138 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index5 signed correction，不以小數近似替代。
• S137 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index5 denominator，不以小數近似替代。
• S136 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S135 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index4 reverse signed error，不以小數近似替代。
• S134 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index4 function value，不以小數近似替代。
• S133 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index4 signed correction，不以小數近似替代。
• S132 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index4 denominator，不以小數近似替代。
• S131 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S130 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index3 reverse signed error，不以小數近似替代。
• S129 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index3 function value，不以小數近似替代。
• S128 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index3 signed correction，不以小數近似替代。
• S127 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index3 denominator，不以小數近似替代。
• S126 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S125 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index2 reverse signed error，不以小數近似替代。
• S124 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index2 function value，不以小數近似替代。
• S123 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index2 signed correction，不以小數近似替代。
• S122 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index2 denominator，不以小數近似替代。
• S121 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S120 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index1 reverse signed error，不以小數近似替代。
• S119 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index1 function value，不以小數近似替代。
• S118 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index1 signed correction，不以小數近似替代。
• S117 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index1 denominator，不以小數近似替代。
• S116 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S115 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index0 reverse signed error，不以小數近似替代。
• S114 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index0 function value，不以小數近似替代。
• S113 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index0 signed correction，不以小數近似替代。
• S112 · premise_and_result_audit — 以精確有理數重算 finite prefix point1 index0 denominator，不以小數近似替代。
• S111 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S110 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index21 reverse signed error，不以小數近似替代。
• S109 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index21 function value，不以小數近似替代。
• S108 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index21 signed correction，不以小數近似替代。
• S107 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index21 denominator，不以小數近似替代。
• S106 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S105 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index20 reverse signed error，不以小數近似替代。
• S104 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index20 function value，不以小數近似替代。
• S103 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index20 signed correction，不以小數近似替代。
• S102 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index20 denominator，不以小數近似替代。
• S101 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S100 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index19 reverse signed error，不以小數近似替代。
• S099 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index19 function value，不以小數近似替代。
• S098 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index19 signed correction，不以小數近似替代。
• S097 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index19 denominator，不以小數近似替代。
• S096 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S095 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index18 reverse signed error，不以小數近似替代。
• S094 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index18 function value，不以小數近似替代。
• S093 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index18 signed correction，不以小數近似替代。
• S092 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index18 denominator，不以小數近似替代。
• S091 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S090 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index17 reverse signed error，不以小數近似替代。
• S089 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index17 function value，不以小數近似替代。
• S088 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index17 signed correction，不以小數近似替代。
• S087 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index17 denominator，不以小數近似替代。
• S086 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S085 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index16 reverse signed error，不以小數近似替代。
• S084 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index16 function value，不以小數近似替代。
• S083 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index16 signed correction，不以小數近似替代。
• S082 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index16 denominator，不以小數近似替代。
• S081 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S080 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index15 reverse signed error，不以小數近似替代。
• S079 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index15 function value，不以小數近似替代。
• S078 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index15 signed correction，不以小數近似替代。
• S077 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index15 denominator，不以小數近似替代。
• S076 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S075 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index14 reverse signed error，不以小數近似替代。
• S074 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index14 function value，不以小數近似替代。
• S073 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index14 signed correction，不以小數近似替代。
• S072 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index14 denominator，不以小數近似替代。
• S071 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S070 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index13 reverse signed error，不以小數近似替代。
• S069 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index13 function value，不以小數近似替代。
• S068 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index13 signed correction，不以小數近似替代。
• S067 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index13 denominator，不以小數近似替代。
• S066 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S065 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index12 reverse signed error，不以小數近似替代。
• S064 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index12 function value，不以小數近似替代。
• S063 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index12 signed correction，不以小數近似替代。
• S062 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index12 denominator，不以小數近似替代。
• S061 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S060 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index11 reverse signed error，不以小數近似替代。
• S059 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index11 function value，不以小數近似替代。
• S058 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index11 signed correction，不以小數近似替代。
• S057 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index11 denominator，不以小數近似替代。
• S056 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S055 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index10 reverse signed error，不以小數近似替代。
• S054 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index10 function value，不以小數近似替代。
• S053 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index10 signed correction，不以小數近似替代。
• S052 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index10 denominator，不以小數近似替代。
• S051 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S050 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index9 reverse signed error，不以小數近似替代。
• S049 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index9 function value，不以小數近似替代。
• S048 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index9 signed correction，不以小數近似替代。
• S047 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index9 denominator，不以小數近似替代。
• S046 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S045 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index8 reverse signed error，不以小數近似替代。
• S044 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index8 function value，不以小數近似替代。
• S043 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index8 signed correction，不以小數近似替代。
• S042 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index8 denominator，不以小數近似替代。
• S041 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S040 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index7 reverse signed error，不以小數近似替代。
• S039 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index7 function value，不以小數近似替代。
• S038 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index7 signed correction，不以小數近似替代。
• S037 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index7 denominator，不以小數近似替代。
• S036 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S035 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index6 reverse signed error，不以小數近似替代。
• S034 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index6 function value，不以小數近似替代。
• S033 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index6 signed correction，不以小數近似替代。
• S032 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index6 denominator，不以小數近似替代。
• S031 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S030 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index5 reverse signed error，不以小數近似替代。
• S029 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index5 function value，不以小數近似替代。
• S028 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index5 signed correction，不以小數近似替代。
• S027 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index5 denominator，不以小數近似替代。
• S026 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S025 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index4 reverse signed error，不以小數近似替代。
• S024 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index4 function value，不以小數近似替代。
• S023 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index4 signed correction，不以小數近似替代。
• S022 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index4 denominator，不以小數近似替代。
• S021 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S020 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index3 reverse signed error，不以小數近似替代。
• S019 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index3 function value，不以小數近似替代。
• S018 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index3 signed correction，不以小數近似替代。
• S017 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index3 denominator，不以小數近似替代。
• S016 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S015 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index2 reverse signed error，不以小數近似替代。
• S014 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index2 function value，不以小數近似替代。
• S013 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index2 signed correction，不以小數近似替代。
• S012 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index2 denominator，不以小數近似替代。
• S011 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S010 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index1 reverse signed error，不以小數近似替代。
• S009 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index1 function value，不以小數近似替代。
• S008 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index1 signed correction，不以小數近似替代。
• S007 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index1 denominator，不以小數近似替代。
• S006 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S005 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index0 reverse signed error，不以小數近似替代。
• S004 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index0 function value，不以小數近似替代。
• S003 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index0 signed correction，不以小數近似替代。
• S002 · premise_and_result_audit — 以精確有理數重算 finite prefix point0 index0 denominator，不以小數近似替代。
• S001 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。

結論

(22, [[0, [32, 85/3, 53/2, 127/5, 74/3, 169/7, 95/4, 211/9, 116/5, 23, 137/6, 295/13, 158/7, 337/15, 179/8, 379/17, 200/9, 421/19, 221/10, 463/21, 22, 505/23]], [1, [21/2, 43/3, 65/4, 87/5, 109/6, 131/7, 153/8, 175/9, 197/10, 219/11, 241/12, 263/13, 285/14, 307/15, 329/16, 351/17, 373/18, 395/19, 417/20, 439/21, 461/22, 21]]], 否, finite_prefix_not_pointwise_convergence_certificate)

依上列完整代值及條件核對得到原題答案；原題編號、格式與狀態保持不變。

本題覆核與來源綁定

覆核日期：2026-10-26

原題、答案、步驟表達式、數值 AST 與既有歷史保持原樣；原來的候選狀態屬於來源歷史，不覆寫為形式化證明。