---
tag: 0XTNJ6SVAC
kind: concept
name: Cluster point of a sequence
msc: [40A05]
sources:
  - url: https://en.wikipedia.org/wiki/Accumulation_point
    locator: Accumulation points of sequences and nets
---

## Summary

A cluster point of a sequence is a point near which infinitely many terms of the sequence lie. In the real numbers, the cluster points are exactly the limits of the convergent subsequences. The node [[cluster point of a sequence|0RCKQN1E09]] gives the precise definition.