Show $f(x) = x\sin{x}$ is not uniformly continuous on $\mathbb{R}$
3856
Uniform Continuity of $x \sin x$
102918
Prove $\sin x$ is uniformly continuous on $\mathbb R$
53627
Proving continuity of $f$
124779
Intuition for uniform continuity of a function on $\mathbb{R}$
146707
Formally show that the set of continuous functions is not measurable
135450
Prove $x^n$ is not uniformly convergent
61486
Show that $f$ is not differentiable at $(0,0)$ - $\frac{x_1^2x_2}{x_1^2+x_2^2}$
125723
Proof of $Y=F_X(X)$ being uniformly distributed on $[0,1]$ for arbitrary continuous $F_X$
26373
Uniform continuity of $f(x) = x \sin{\frac{1}{x}}$ for $x \neq 0$ and $f(0) = 0.$
117419
Why is $e^{x}$ not uniformly continuous on $\mathbb{R}$?
139763
A function takes every function value twice - proof it is not continuous
27775
Proving a function is not a contraction
131992
A problem on continuous functions
141223
$f(x^2) = 2f(x)$ and $f(x)$ continuous
129856
Show that $f(x)=\frac{x}{1+|x|}$ is uniformly continuous.
2129
Showing that the derivative operator is not bounded on $L^2 (\mathbb{R})$
107389
Show that the vector space of real functions is not finitely spanned