If $f \in {\mathcal{C}}_c({\mathbb{R}}^n)$, then $f$ is uniformly continuous
55749
Compactly supported continuous function is uniformly continuous
125723
Proof of $Y=F_X(X)$ being uniformly distributed on $[0,1]$ for arbitrary continuous $F_X$
127538
Show $f(x)=x\ln x$ is not uniformly continuous
34940
Continuity of $f(x) = x^n$
158344
Uniform continuous maps that converge uniformly to a function f. What can we say about f?
110458
Show that if $f$ is continuous on $(0,1)$ and $\lim_{x \to 0}f(x) = + \infty$ then $f$ is not uniformly continuous
15579
Show that $f$ is uniformly continuous if limit exists
5881
$\sqrt x$ is uniformly continuous
102918
Prove $\sin x$ is uniformly continuous on $\mathbb R$
155923
continuity of $f(x,y)$ in $\mathbb R^2$.
74145
How to prove $x^{n}$ is not uniformly continuous
13765
Is a rational-valued continuous function $f\colon[0,1]\to\mathbb{R}$ constant?
143695
Is an increasing, bounded and continuous function on $[a,+\infty)$ uniformly continuous?
138397
If a sequence of functions $f_n$ converges uniformly to $f$, does this imply $f_n$ is continuous? How to prove?
113871
Prove $f(x) = \sqrt x$ is uniformly continuous on $[0,\infty)$
15727
show that if $f$ is uniformly differentiable then prove that $f'$ is continuous
74364
Show that function $f$ has a continuous extension to $[a,b]$ iff $f$ is uniformly continuous on $(a,b)$