Prove that $e^x$ is not uniformly continuous on $\mathbb R$
117419
Why is $e^{x}$ not uniformly continuous on $\mathbb{R}$?
96363
How to show that $\mathbb R^n$ with the $1$-norm is not isometric to $\mathbb R^n$ with the infinity norm for $n>2$?
127538
Show $f(x)=x\ln x$ is not uniformly continuous
124382
Showing that $f_n:[0,1]\to\mathbb{R}$ when $f_n=nx(1-x)^n$ converges pointwise but not uniformly
60282
Prove that $f_n$ converges uniformly on $\mathbb{R}$
47419
Asymptotics of uniformly continuous functions over $\mathbb R$
33191
Continuous and bounded variation does not imply absolutely continuous
102918
Prove $\sin x$ is uniformly continuous on $\mathbb R$
124779
Intuition for uniform continuity of a function on $\mathbb{R}$
158567
A uniform continuous function which is not Hölder continuous
69122
If $f,g$ are uniformly continuous prove $f+g$ is uniformly continuous but $fg$ and $\dfrac{f}{g}$ are not
37812
Prove that the function$\ f(x)=\sin(x^2)$ is not uniformly continuous on the domain $\mathbb{R}$.
58664
Proving a function is continuous for a fixed variable
34940
Continuity of $f(x) = x^n$
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
113871
Prove $f(x) = \sqrt x$ is uniformly continuous on $[0,\infty)$
158681
How to show that $e^x$ is differentiable?