# Radius of convergence of a power 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)



## [Radius of convergence of a power series](https://ocme.evemisslab.com/en/atlas/atlas-power-series-radius-of-convergence/)

Around its center c, a power series has absolute convergence inside radius R and divergence outside; endpoints require separate decisions.

atlas-power-series-radius-of-convergence · canonical_mko

[Radius of convergence of a power series](https://ocme.evemisslab.com/en/mko/mko-power-series-radius-of-convergence/)

## Prerequisite nodes


- [Infinite series](https://ocme.evemisslab.com/en/atlas/atlas-infinite-series/)
- [Supremum and infimum](https://ocme.evemisslab.com/en/atlas/atlas-supremum-and-infimum/)
- [Absolute value](https://ocme.evemisslab.com/en/atlas/atlas-absolute-value/)
- [Natural-number powers and principal square roots](https://ocme.evemisslab.com/en/atlas/atlas-power-root/)