---
tag: 0W4CN9E2W5
kind: concept
name: Convergent sequence
msc: [40A05]
sources:
  - url: https://en.wikipedia.org/wiki/Limit_of_a_sequence
    locator: lead section
---

## Summary

A convergent sequence is a sequence that has a limit. Convergent sequences are bounded, and their limits obey the algebra of limits. The node [[convergent sequence|0AZ3R52593]] gives the precise definition.