If a multivariable continuous real function has $\lim_{\Vert x\Vert\to\infty} f(x) = L$, it is then uniformly continuous?
9614
How does the existence of a limit imply that a function is uniformly continuous
36166
Uniform continuity on (0,1) implies boundedness
158567
A uniform continuous function which is not Hölder continuous
155822
Does uniform convergence preserves absolute continuity?
3856
Uniform Continuity of $x \sin x$
5881
$\sqrt x$ is uniformly continuous
102076
Sequence of monotone functions converging to a continuous limit, is the convergence uniform?
99906
If $f'(c)$ exists then $\lim_{x\to c} f(x)=f(c)$
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
101701
Prove that $\ln x$ is not uniformly continuous on $(0,1]$
129551
Does $\lim_{h\rightarrow 0}\ [f(x+h)-f(x-h)]=0$ imply that $f$ is continuous?
41847
Uniformly continuous function with unbounded variation
4062
prove that $f(x)=\log(1+x^2)$ is Uniform continuous with $\epsilon ,\delta$ ...
131060
Is $\sqrt{x}$ uniformly continuous in $\mathbb{R}^+$?
36149
A uniformly continuous function maps bounded set to bounded sets
111290
If $f$ continuous and $\lim_{x\to-\infty }f(x)=\lim_{x\to\infty }f(x)=+\infty $ then $f$ takes its minimum.
152105
When is $x^{\alpha}\sin(x^{\beta})$ uniformly continuous for $\alpha, \beta > 0$?