---
tag: 090AA928Y7
kind: concept
name: Convergence of a sequence in a metric space
aliases: [limit-of-a-sequence-in-a-metric-space]
msc: ["54E35"]
sources:
  - url: https://en.wikipedia.org/wiki/Limit_of_a_sequence
    locator: Metric spaces
---

## Summary

A sequence in a metric space converges to a point when the distance from the terms to the point tends to zero.
The point is the limit of the sequence.