---
tag: 033RZ32T4Q
kind: concept
name: Limit inferior
msc: [40A05]
sources:
  - url: https://en.wikipedia.org/wiki/Limit_inferior_and_limit_superior
    locator: lead section
---

## Summary

The limit inferior of a sequence is the limit of the infima of its tails. It describes the smallest value near which the sequence lies infinitely often. The node [[limit inferior|0H4R3RESGV]] gives the precise definition.