# 單調有界數列收斂定理

[目錄呈現與來源綁定資料](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [單調有界數列收斂定理](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-monotone-sequence-convergence-theorem/)

非遞減且有上界的實數列收斂至其項集合supremum；非遞增版本對偶收斂至infimum。

atlas-monotone-sequence-convergence-theorem · canonical_mko

[單調有界數列收斂定理](https://ocme.evemisslab.com/zh-Hant/mko/mko-monotone-sequence-convergence-theorem/)

## 前置節點


- [上確界與下確界](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-supremum-and-infimum/)
- [數列極限與精確尾界](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-sequence-limit/)
- [實數大小與順序](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-order-relation/)