Proving that a function is uniformly continuous having the limit
9614
How does the existence of a limit imply that a function is uniformly continuous
110458
Show that if $f$ is continuous on $(0,1)$ and $\lim_{x \to 0}f(x) = + \infty$ then $f$ is not uniformly continuous
1474
How to prove limit of measurable functions is measurable
3772
About the continuity of the function $f(x) = \sum\limits_k2^{-k}\mathbf 1_{q_k \leq x}$
4062
prove that $f(x)=\log(1+x^2)$ is Uniform continuous with $\epsilon ,\delta$ ...
129856
Show that $f(x)=\frac{x}{1+|x|}$ is uniformly continuous.
127449
Uniform continuous of $f(x,y) = \sin(x^2+y)$
155822
Does uniform convergence preserves absolute continuity?
20404
Prove that $f$ continuous and $\int_a^\infty |f(x)|\;dx$ finite imply $\lim\limits_{ x \to \infty } f(x)=0$
125723
Proof of $Y=F_X(X)$ being uniformly distributed on $[0,1]$ for arbitrary continuous $F_X$
15727
show that if $f$ is uniformly differentiable then prove that $f'$ is continuous
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point
60282
Prove that $f_n$ converges uniformly on $\mathbb{R}$
127538
Show $f(x)=x\ln x$ is not uniformly continuous
58664
Proving a function is continuous for a fixed variable
113871
Prove $f(x) = \sqrt x$ is uniformly continuous on $[0,\infty)$
113086
Prove or disprove that $f(x) = \sin x/x$ is uniformly continuous over the interval $(0,1)$?