New posts in Uniform Continuity

composition of two uniformly continuous functions.

Uniform continuity of $f(x) = x \sin{\frac{1}{x}}$ for $x \neq 0$ and $f(0) = 0.$

Compactly supported continuous function is uniformly continuous

Is $\ln(x)$ uniformly continuous?

Uniform Continuity of $x \sin x$

product of two uniformly continuous functions is uniformly continuous

Is a Cauchy sequence - preserving (continuous) function is (uniformly) continuous?

Is a bounded and continuous function uniformly continuous?

Prove that the function$\ f(x)=\sin(x^2)$ is not uniformly continuous on the domain $\mathbb{R}$.

How to prove $x^{n}$ is not uniformly continuous