---
tag: 0AF7X08PCR
kind: concept
name: Convergent series
msc: [40A05]
sources:
  - url: https://en.wikipedia.org/wiki/Convergent_series
    locator: lead section
same_as:
  wikidata: Q1211057
  wikipedia: Convergent series
---

## Summary

A convergent series is a series whose sequence of partial sums has a finite limit. Many tests decide whether a given series converges. The node [[convergent series|0CVVKY7GY2]] gives the precise definition.