Lipschitz Continuity of $\sqrt{1 + \|x\|^2_2}$
97562
Proving Lipschitz gradient of $f(x)=\sqrt{1+\|x\|^2}$
83494
Uniform continuity of $\ln(x)$
53349
Prove that $\sqrt{x}$ is continuous on its domain $[0, \infty).$
110112
Proving a function is Lipschitz continuous
3772
About the continuity of the function $f(x) = \sum\limits_k2^{-k}\mathbf 1_{q_k \leq x}$
149354
Proof of continuity $f(x+y) = f(x) + f(y)$
53627
Proving continuity of $f$
97382
Continuous differentiability implies Lipschitz continuity
38761
Is the $ L^{p}$$[0,1]$ norm continuous in p?
71487
Real Analysis: Continuity of a Composition Function
64619
Continuity of a function of product spaces
1986
Show $1/(1+ x^2)$ is uniformly continuous on $\Bbb R$.
14516
The space of continuous functions $C([0,1])$ is not complete in the $L^2$ norm
141423
The continuity of $f(x,y) = \frac {\sin (xy)} {\sqrt {x^2 + y^2}}$ at $(0,0)$
5881
$\sqrt x$ is uniformly continuous
62048
Proving a Lipschitz function is continuous
129551
Does $\lim_{h\rightarrow 0}\ [f(x+h)-f(x-h)]=0$ imply that $f$ is continuous?