---
tag: 05M5SWSZZD
kind: concept
name: Limit of a sequence
msc: [40A05]
sources:
  - url: https://en.wikipedia.org/wiki/Limit_of_a_sequence
    locator: lead section
same_as:
  wikidata: Q847204
  wikipedia: Limit of a sequence
---

## Summary

A sequence has a limit $L$ when its terms come and stay arbitrarily close to $L$ for large indices. Limits of sequences are the base of the notions of convergence, continuity and series in analysis. The node [[limit of a sequence|0XKWSSY8P2]] gives the precise definition.