# Point values and continuity of real functions

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)



## [Point values and continuity of real functions](https://ocme.evemisslab.com/en/atlas/atlas-continuity/)

Continuity on the whole real domain requires a defined center value agreeing with the two-sided limit; extension and original-function continuity are distinct.

atlas-continuity · canonical_mko

[Point values and continuity of real functions](https://ocme.evemisslab.com/en/mko/mko-continuity/)

## Prerequisite nodes


- [Function limits on punctured real domains](https://ocme.evemisslab.com/en/atlas/atlas-function-limit/)
- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)