Uniform continuity of $x\sin(\frac{1}{x})$
26373
Uniform continuity of $f(x) = x \sin{\frac{1}{x}}$ for $x \neq 0$ and $f(0) = 0.$
74258
Show that $(1+\frac{x}{n})^n \rightarrow e^x$ uniformly on any bounded interval of the real line.
19167
Show that $X_{n}\sim N(\sin(\pi n),1)$ is uniformly tight
90556
Proof of the unbounded-ness of $\sum_{n\geq 1}\frac{1}{n}\sin\frac{x}{n}$
15284
$f$ defined on $[1,\infty )$ is uniformly continuous. Then $\exists M>0$ s.t. $\frac{|f(x)|}{x}\le M$ for $x\ge 1$.
102315
difference of uniform continuity and continuity of map
83494
Uniform continuity of $\ln(x)$
34940
Continuity of $f(x) = x^n$
152105
When is $x^{\alpha}\sin(x^{\beta})$ uniformly continuous for $\alpha, \beta > 0$?
69378
The derivative of $x!$ and its continuity
98772
Continuity of a function in $\mathbb{R}$
141423
The continuity of $f(x,y) = \frac {\sin (xy)} {\sqrt {x^2 + y^2}}$ at $(0,0)$
106060
If $f$ is continuous and with a limit at infinity then $f$ is uniformly continuous
55749
Compactly supported continuous function is uniformly continuous
115417
Continuity of $L^1$ functions with respect to translation
53627
Proving continuity of $f$
75735
Let $f$ be a continuous function on an interval around $0$ and let $a_i=f(\frac{1}{i})$ (for large enough $i$)