Show that $f(x) =\frac{1}{1+x^2}$ is Lipschitz continuous on $\mathbb{R}$?
1986
Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
11158
Proof that a continuous function with $f(x) = f(x^2)$ is constant.
23845
How to prove the continuity of the metric function?
3772
About the continuity of the function $f(x) = \sum\limits_k2^{-k}\mathbf 1_{q_k \leq x}$
123865
Prove Lipschitz function $f$ with constant $K$ is integrable on $[0, 1].$
138510
Show f(x) is a Lipschitz function
85890
When is the Laplace transform of a function continuous?
141223
$f(x^2) = 2f(x)$ and $f(x)$ continuous
151573
Show f is continuous on (0, ∞) iff f is continuous at 1 for a defined function.
28399
Showing $f$ is constant
100187
Show function is continuous at origin
104263
How to show that $f'(x)<2f(x)$
110458
Show that if $f$ is continuous on $(0,1)$ and $\lim_{x \to 0}f(x) = + \infty$ then $f$ is not uniformly continuous
60700
Continuity of a function to the integers
63598
Is every separately continuous function on $R^2$ continuous?
94781
Prove that $M(t)=\sup_ {a \leq x \leq t} f(x)$ given $f(x)$ is continuous on $[a,b]$
60521
Continuity of a convex function