![real analysis - Prove that $f(x) =\sqrt{x}$ is uniformly continuous on $[0, \infty)$ - Mathematics Stack Exchange real analysis - Prove that $f(x) =\sqrt{x}$ is uniformly continuous on $[0, \infty)$ - Mathematics Stack Exchange](https://i.stack.imgur.com/b5B4J.png)
real analysis - Prove that $f(x) =\sqrt{x}$ is uniformly continuous on $[0, \infty)$ - Mathematics Stack Exchange
![real analysis - Prove that $f(x) =\sqrt{x}$ is uniformly continuous on $[0, \infty)$ - Mathematics Stack Exchange real analysis - Prove that $f(x) =\sqrt{x}$ is uniformly continuous on $[0, \infty)$ - Mathematics Stack Exchange](https://i.stack.imgur.com/5mXIS.png)
real analysis - Prove that $f(x) =\sqrt{x}$ is uniformly continuous on $[0, \infty)$ - Mathematics Stack Exchange
How do we know a function is continuous? Let's say we have root(x-1), how do we know for sure that this is a continuous function? - Quora
![continuity - How to show square root of absolute of x, $\sqrt{|x|}$, is not Lipschitz continuous? - Mathematics Stack Exchange continuity - How to show square root of absolute of x, $\sqrt{|x|}$, is not Lipschitz continuous? - Mathematics Stack Exchange](https://i.stack.imgur.com/H1lS5.png)
continuity - How to show square root of absolute of x, $\sqrt{|x|}$, is not Lipschitz continuous? - Mathematics Stack Exchange
![Show that the function f(x) = x + sqrt{x - 4} is continuous on the interval 4, infinity). | Homework.Study.com Show that the function f(x) = x + sqrt{x - 4} is continuous on the interval 4, infinity). | Homework.Study.com](https://homework.study.com/cimages/multimages/16/fig_125946775231989608865.png)
Show that the function f(x) = x + sqrt{x - 4} is continuous on the interval 4, infinity). | Homework.Study.com
![SOLVED: Using the definition of uniform continuity, prove f(x) = sqrt(x) is uniformly continuous on the interval (1/9, 1/4) SOLVED: Using the definition of uniform continuity, prove f(x) = sqrt(x) is uniformly continuous on the interval (1/9, 1/4)](https://cdn.numerade.com/ask_previews/d4312b1f-e3a5-426f-bb46-50588e548b54_large.jpg)