$f(x)=x^{\frac{2}{3}}\ln x$ for $x>0$ , is it uniformly continuous
134838
Uniform continuity of $f(x)=x^{2/3}\log x$ on $[0, \infty)$
129579
If $f''(x_0)$ exists then $\lim_{x \to x_0} \frac{f(x_0+h)-2f(x_0)+f(x_0-h)}{h^2} = f''(x_0)$
147299
Prove that $g(x,y) = \frac{x^3y}{x^2+y^2}$ with $g(0,0)=0$ is continuous
118362
Determine whether $f_n(x)=\frac{x^n}{\sqrt{3n}}$ for $x \in [0,1]$ is uniformly convergent
3518
Proving $f(x)=1/x$ on $(0,1 )$ is not uniformly continuous
2357
Showing $\frac{x^3y}{x^4+y^2}$ is continuous at all points
24017
Let $f: \Bbb R \to [0,\infty)$ be a continuous function such that $g(x)=(f(x))^2$ is uniformly continuous. Which of the following is always true?
131866
Determine whether the function $f(x) = e^x \cos (1/x)$ is uniformly continuous on $A = (0,1)$.
12408
Prove that a function whose derivative is bounded is uniformly continuous.
141945
Why is $f(x) = \sqrt{x}$ is continuous at $x=0$? Does $\lim_{x \to 0^{-}} \sqrt{x}$ exist?
149827
show that $x\sin\left(\frac{1}{x}\right)$ is uniformly continuous on $(0,1)$
158567
A uniform continuous function which is not Hölder continuous
57180
Techniques to prove a function is uniformly continuous
77322
Uniform continuity of $\sin(x\sin x )$ for all $x\in (0,\infty)$
139744
For a continuous function $f$ show $\exists c\in (0,1)$ s.t $f(c)=3c^2$
111485
Let $f(x)$ be continuous on [$0,1$] to $f(x)=0$ for each $x\in[0,1]$
58664
Proving a function is continuous for a fixed variable