Prove f is uniformly continuous
54321
Questions about $f: \mathbb{R} \rightarrow \mathbb{R}$ with bounded derivative
100979
Uniform continuity of a function and cauchy sequences
143695
Is an increasing, bounded and continuous function on $[a,+\infty)$ uniformly continuous?
69122
If $f,g$ are uniformly continuous prove $f+g$ is uniformly continuous but $fg$ and $\dfrac{f}{g}$ are not
132946
Continuous and bounded imply uniform continuity?
158567
A uniform continuous function which is not Hölder continuous
50366
Convolution is uniformly continuous and bounded
102918
Prove $\sin x$ is uniformly continuous on $\mathbb R$
813
$f$ uniformly continuous and $\int_a^\infty f(x)\,dx$ converges imply $\lim_{x \to \infty} f(x) = 0$
55749
Compactly supported continuous function is uniformly continuous
111907
Prove that Cantor function is Hölder continuous
54499
How do I show that all continuous periodic functions are bounded and uniform continuous?
135449
Prove: $\frac1x$ is not a uniformly continuous function
153271
Fourier transform is uniformly continuous
40297
Proof of uniform limit of Continuous Functions
127538
Show $f(x)=x\ln x$ is not uniformly continuous
23617
Determine whether $f(x)={\sin x \over x}$ is uniformly continuous in $\mathbb R$