---
tag: 0T3RZQXDYD
kind: concept
name: Limit superior
msc: [40A05]
sources:
  - url: https://en.wikipedia.org/wiki/Limit_inferior_and_limit_superior
    locator: lead section
---

## Summary

The limit superior of a sequence is the limit of the suprema of its tails. It describes the largest value near which the sequence lies infinitely often. The node [[limit superior|0P8BA7T7S5]] gives the precise definition.