Uniformly continuous of a function
86698
Every uniformly continuous real function has at most linear growth at infinity
1986
Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
117486
Limit of uniformly continuous functions with convergent improper integrals.
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
15579
Show that $f$ is uniformly continuous if limit exists
129073
If $f'$ is bounded, then $f$ is uniformly continuous
84785
Is $f(x)=x+\frac{x}{x+1}$ uniformly continuous on $(0,\infty)$
3856
Uniform Continuity of $x \sin x$
64619
Continuity of a function of product spaces
77322
Uniform continuity of $\sin(x\sin x )$ for all $x\in (0,\infty)$
12997
Is a Cauchy sequence - preserving (continuous) function is (uniformly) continuous?
12523
Supremum of a Continuous Function is Continuous
59519
What about the continuity of these functions in the uniform topology?
26373
Uniform continuity of $f(x) = x \sin{\frac{1}{x}}$ for $x \neq 0$ and $f(0) = 0.$
55368
$f$ is continuous, if $f_n$ continuous and $f_n\to f$ uniformly
123981
Is it possible to write any bounded continuous function as a uniform limit of smooth functions
102918
Prove $\sin x$ is uniformly continuous on $\mathbb R$