# Ratio test for 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)



## [Ratio test for series](https://ocme.evemisslab.com/en/atlas/atlas-ratio-test-series/)

For eventually nonzero terms, an absolute successive-ratio limit below1 gives absolute convergence, above1 gives divergence, and equal to1 is inconclusive.

atlas-ratio-test-series · canonical_mko

[Ratio test for series](https://ocme.evemisslab.com/en/mko/mko-ratio-test-series/)

## Prerequisite nodes


- [Absolute convergence of series](https://ocme.evemisslab.com/en/atlas/atlas-absolute-convergence-of-series/)
- [Sequence limits and exact tail cutoffs](https://ocme.evemisslab.com/en/atlas/atlas-sequence-limit/)
- [Absolute value](https://ocme.evemisslab.com/en/atlas/atlas-absolute-value/)
- [Comparison tests for series](https://ocme.evemisslab.com/en/atlas/atlas-series-comparison-test/)