# Absolute convergence of series

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)



## [Absolute convergence of series](https://ocme.evemisslab.com/en/atlas/atlas-absolute-convergence-of-series/)

A series is absolutely convergent when the sum of absolute terms converges; absolute convergence implies convergence, but the converse does not hold in general.

atlas-absolute-convergence-of-series · canonical_mko

[Absolute convergence of series](https://ocme.evemisslab.com/en/mko/mko-absolute-convergence-of-series/)

## Prerequisite nodes


- [Infinite series](https://ocme.evemisslab.com/en/atlas/atlas-infinite-series/)
- [Absolute value](https://ocme.evemisslab.com/en/atlas/atlas-absolute-value/)
- [Sequence limits and exact tail cutoffs](https://ocme.evemisslab.com/en/atlas/atlas-sequence-limit/)