proof verification: $f(x) = 1/x$ is not uniformly continuous on the open interval (0,1).
3518
Proving $f(x)=1/x$ on $(0,1 )$ is not uniformly continuous
13852
Assume $f$ is a continuous one-to-one function over an interval. Prove that $f$ is strictly monotone
142870
Prove the function is not differentiable at (0,0)
15284
$f$ defined on $[1,\infty )$ is uniformly continuous. Then $\exists M>0$ s.t. $\frac{|f(x)|}{x}\le M$ for $x\ge 1$.
146707
Formally show that the set of continuous functions is not measurable
124779
Intuition for uniform continuity of a function on $\mathbb{R}$
82280
Problem about continuous functions and the intermediate value theorem
62947
If $f(x)$ is equal to $x$ or $1-x$ when $x$ is rational/irrational, then $f$ is continuous only at $x=1/2$
150235
$\epsilon$-$\delta$ proof that $f(x) = x \sin(1/x)$, $x \ne 0$, is continuous
134838
Uniform continuity of $f(x)=x^{2/3}\log x$ on $[0, \infty)$
150554
proof that $f'$ is continuous at $a$
37812
Prove that the function$\ f(x)=\sin(x^2)$ is not uniformly continuous on the domain $\mathbb{R}$.
105084
Let f be a function twice differentiable and with derivatives continuous on an interval $[a,b]$ containing $0$. Prove the following statement:
110146
I need to prove the continuity of $f(x)=\log x$ using a $\epsilon-\delta$ proof
9614
How does the existence of a limit imply that a function is uniformly continuous
118628
Is the function $f(x)=|x|^{1/2}$ Lipschitz continuous?
30860
Prove that $f(x)=0$ in $[-1,1]$.