Prove that f(x) = √x is uniformly continuous on [0,∞).
5881
$\sqrt x$ is uniformly continuous
52380
How to prove the function $e^x$ is continous for all real numbers
113122
Prove that a continuous real function with finite limits is bounded
40297
Proof of uniform limit of Continuous Functions
3856
Uniform Continuity of $x \sin x$
26373
Uniform continuity of $f(x) = x \sin{\frac{1}{x}}$ for $x \neq 0$ and $f(0) = 0.$
144013
If $f$ is differentiable at $x = x_0$ then $f$ is continuous at $x = x_0$.
53627
Proving continuity of $f$
23436
$f$ Holder continuous with Holder exponent $p>1\implies f \text{ is constant}$
131866
Determine whether the function $f(x) = e^x \cos (1/x)$ is uniformly continuous on $A = (0,1)$.
127538
Show $f(x)=x\ln x$ is not uniformly continuous
121771
Proof $f(x)\equiv 0$
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
149827
show that $x\sin\left(\frac{1}{x}\right)$ is uniformly continuous on $(0,1)$
15284
$f$ defined on $[1,\infty )$ is uniformly continuous. Then $\exists M>0$ s.t. $\frac{|f(x)|}{x}\le M$ for $x\ge 1$.
20273
Prove that if $|f(x)| \leq x^2$, then the function is continuous and differentiable at $x=0$.
74145
How to prove $x^{n}$ is not uniformly continuous