Proving $\log(x)$ not uniformly continuous
101701
Prove that $\ln x$ is not uniformly continuous on $(0,1]$
57180
Techniques to prove a function is uniformly continuous
69122
If $f,g$ are uniformly continuous prove $f+g$ is uniformly continuous but $fg$ and $\dfrac{f}{g}$ are not
146707
Formally show that the set of continuous functions is not measurable
129073
If $f'$ is bounded, then $f$ is uniformly continuous
76607
Show that exists a continuous function in $E$ that is not bounded
150770
Why is $f^n(\xi(x))$ continuous over $x$?
2250
What is the $x$ in $\log_b x$ called?
149827
show that $x\sin\left(\frac{1}{x}\right)$ is uniformly continuous on $(0,1)$
145368
How to show $f:Y\to X^{+}$ is continuous?
39747
Showing that $\lim_{x\to 0} x\log{x}= 0$ without using L'Hopital's rule
47419
Asymptotics of uniformly continuous functions over $\mathbb R$
84785
Is $f(x)=x+\frac{x}{x+1}$ uniformly continuous on $(0,\infty)$
58664
Proving a function is continuous for a fixed variable
125723
Proof of $Y=F_X(X)$ being uniformly distributed on $[0,1]$ for arbitrary continuous $F_X$
1986
Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
5881
$\sqrt x$ is uniformly continuous