# Cauchy sequence

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)



## [Cauchy sequence](https://ocme.evemisslab.com/en/atlas/atlas-cauchy-sequence/)

A sequence in a metric space is Cauchy if, for every positive epsilon, all pairs of sufficiently late terms are less than epsilon apart.

atlas-cauchy-sequence · canonical_mko

[Cauchy sequence](https://ocme.evemisslab.com/en/mko/mko-cauchy-sequence/)

## Prerequisite nodes


- [Metric space](https://ocme.evemisslab.com/en/atlas/atlas-metric-space/)
- [Sequence](https://ocme.evemisslab.com/en/atlas/atlas-sequence/)
- [Quantifiers and explicit domains](https://ocme.evemisslab.com/en/atlas/atlas-quantifier/)