# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

200 results; page 8/8.

## Question 32326: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0076`; number: 32326
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0076/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0076.json)

## Question 32327: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0077`; number: 32327
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0077/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0077.json)

## Question 32328: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0078`; number: 32328
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0078/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0078.json)

## Question 32329: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0079`; number: 32329
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0079/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0079.json)

## Question 32330: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0080`; number: 32330
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0080/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0080.json)

## Question 32331: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0081`; number: 32331
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0081/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0081.json)

## Question 32332: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0082`; number: 32332
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0082/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0082.json)

## Question 32333: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0083`; number: 32333
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0083/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0083.json)

## Question 32334: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0084`; number: 32334
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0084/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0084.json)

## Question 32335: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0085`; number: 32335
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0085/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0085.json)

## Question 32336: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0086`; number: 32336
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0086/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0086.json)

## Question 32337: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0087`; number: 32337
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0087/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0087.json)

## Question 32338: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0088`; number: 32338
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0088/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0088.json)

## Question 32339: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0089`; number: 32339
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0089/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0089.json)

## Question 32340: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0090`; number: 32340
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0090/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0090.json)

## Question 32341: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0091`; number: 32341
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0091/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0091.json)

## Question 32342: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0092`; number: 32342
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0092/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0092.json)

## Question 32343: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0093`; number: 32343
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0093/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0093.json)

## Question 32344: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0094`; number: 32344
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0094/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0094.json)

## Question 32345: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0095`; number: 32345
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0095/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0095.json)

## Question 32346: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0096`; number: 32346
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0096/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0096.json)

## Question 32347: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0097`; number: 32347
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0097/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0097.json)

## Question 32348: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0098`; number: 32348
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0098/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0098.json)

## Question 32349: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0099`; number: 32349
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0099/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0099.json)

## Question 32350: Two-Sided Limit of Affine Branches

- ID: `q-20261007-advance-20261008-r02-function-limit-0100`; number: 32350
- Processing: second_context_reviewed
- MKO: [mko-function-limit](/en/mko/mko-function-limit/)
- Family: [qf-function-limit-two-sided-affine](/en/explore/?family=qf-function-limit-two-sided-affine)
- Batch: [batch-20261007-advance-20261008-r02-function-limit-foundations](/en/explore/?batch=batch-20261007-advance-20261008-r02-function-limit-foundations)
- [Derivation](/en/questions/q-20261007-advance-20261008-r02-function-limit-0100/) / [Markdown](/en/questions/q-20261007-advance-20261008-r02-function-limit-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261007-advance-20261008-r02-function-limit-0100.json)

