---
tag: 055Z15H69G
kind: concept
name: Sequential continuity
msc: [26A15]
sources:
  - url: https://en.wikipedia.org/wiki/Continuous_function
    locator: Definition in terms of limits of sequences
---

## Summary

A function is sequentially continuous when it maps each convergent sequence in its domain to a sequence that converges to the value at the limit. For real functions, this is the same as continuity. The node [[sequential continuity|0MVDQEAB60]] gives the precise definition.