Uniform Continuity of function $\frac{1}{1+x^2}$
1986
Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
17223
Continuity of an inverse function.
23617
Determine whether $f(x)={\sin x \over x}$ is uniformly continuous in $\mathbb R$
149827
show that $x\sin\left(\frac{1}{x}\right)$ is uniformly continuous on $(0,1)$
144957
Uniform convergence of a function
94244
$\sin \frac{1}{x}$ is not uniformly continuous on $[1, \infty]$
102918
Prove $\sin x$ is uniformly continuous on $\mathbb R$
77322
Uniform continuity of $\sin(x\sin x )$ for all $x\in (0,\infty)$
74258
Show that $(1+\frac{x}{n})^n \rightarrow e^x$ uniformly on any bounded interval of the real line.
154572
Continuity of a function at an isolated point
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
11158
Proof that a continuous function with $f(x) = f(x^2)$ is constant.
113871
Prove $f(x) = \sqrt x$ is uniformly continuous on $[0,\infty)$
98772
Continuity of a function in $\mathbb{R}$
60070
Unique uniformly continuous function into complete space
158567
A uniform continuous function which is not Hölder continuous
12408
Prove that a function whose derivative is bounded is uniformly continuous.