Solved] Q2 Show that the composition of two uniformly continuous functions is uniformly continuous. | Course Hero
MathType - Uniform Continuity is a stronger feature to ask from a function than mere continuity. Regular continuity is defined on a per point basis while uniform continuity is defined for the
![Help with details in an example showing the function $f(x)=\frac{1}{x^2}$ is not uniformly continuous - Mathematics Stack Exchange Help with details in an example showing the function $f(x)=\frac{1}{x^2}$ is not uniformly continuous - Mathematics Stack Exchange](https://i.stack.imgur.com/RnWy5.png)
Help with details in an example showing the function $f(x)=\frac{1}{x^2}$ is not uniformly continuous - Mathematics Stack Exchange
![Uniform continuity of $f(x) = x \sin{\frac{1}{x}}$ for $x \neq 0$ and $f(0) = 0.$ - Mathematics Stack Exchange Uniform continuity of $f(x) = x \sin{\frac{1}{x}}$ for $x \neq 0$ and $f(0) = 0.$ - Mathematics Stack Exchange](https://i.stack.imgur.com/sO8pF.png)
Uniform continuity of $f(x) = x \sin{\frac{1}{x}}$ for $x \neq 0$ and $f(0) = 0.$ - Mathematics Stack Exchange
![A uniformly continuous function. There is one 'delta' that will work uniformly for all locations of epsilon. | Analysis, Mathematics, Continuity A uniformly continuous function. There is one 'delta' that will work uniformly for all locations of epsilon. | Analysis, Mathematics, Continuity](https://i.pinimg.com/originals/39/6b/3f/396b3fa3b1642c243aa1d50275be3728.gif)