---
tag: 0BMY28TBSF
kind: concept
name: Uniformly Cauchy sequence of functions
msc: [40A30]
sources:
  - url: https://en.wikipedia.org/wiki/Uniform_convergence
    locator: Properties
---

## Summary

A sequence of functions is uniformly Cauchy when its terms become uniformly close to each other. For real-valued functions, this is the same as uniform convergence. The node [[uniformly Cauchy sequence of functions|01XAY17QA3]] gives the precise definition.