# Taylor remainder theorem

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Taylor remainder theorem](https://ocme.evemisslab.com/en/atlas/atlas-taylor-remainder-theorem/)

Under sufficient differentiability, a Lagrange remainder and derivative bound control the Taylor approximation error.

atlas-taylor-remainder-theorem · canonical_mko

[Taylor remainder theorem](https://ocme.evemisslab.com/en/mko/mko-taylor-remainder-theorem/)

## Prerequisite nodes


- [Taylor polynomial](https://ocme.evemisslab.com/en/atlas/atlas-taylor-polynomial/)
- [Higher-order derivative](https://ocme.evemisslab.com/en/atlas/atlas-higher-order-derivative/)
- [Mean value theorem](https://ocme.evemisslab.com/en/atlas/atlas-mean-value-theorem/)
- [Absolute value](https://ocme.evemisslab.com/en/atlas/atlas-absolute-value/)