# 一致極限保持連續

[目錄呈現與來源綁定資料](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [一致極限保持連續](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-uniform-limit-continuity-theorem/)

同一domain上的連續函數列若一致收斂至f，則極限函數f連續。

atlas-uniform-limit-continuity-theorem · canonical_mko

[一致極限保持連續](https://ocme.evemisslab.com/zh-Hant/mko/mko-uniform-limit-continuity-theorem/)

## 前置節點


- [函數列一致收斂](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-uniform-convergence-of-functions/)
- [實函數的點值與連續](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-continuity/)
- [函數映射](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-function-mapping/)
- [上確界與下確界](https://ocme.evemisslab.com/zh-Hant/atlas/atlas-supremum-and-infimum/)