Show a function is not Lipschitz Continuous
95327
Lipschitz and uniform continuity
83915
Showing that a function is not differentiable
14578
Proving that an additive function $f$ is continuous if it is continuous at a single point
109732
Nowhere continuous function limit
135449
Prove: $\frac1x$ is not a uniformly continuous function
58816
Existence of a continuous function which does not achieve a maximum.
98772
Continuity of a function in $\mathbb{R}$
158309
Find a function that is continuous only on rationals
104257
$C^1$ functions on an open connected set and local Lipschitz continuity
118628
Is the function $f(x)=|x|^{1/2}$ Lipschitz continuous?
145017
Example of a function $f$ which is nowhere continuous but $|f|$ should be continuous at all points
110458
Show that if $f$ is continuous on $(0,1)$ and $\lim_{x \to 0}f(x) = + \infty$ then $f$ is not uniformly continuous
100187
Show function is continuous at origin
135199
Looking for a function $f$ that is $n$-differentiable, but $f^{(n)}$ is not continuous
14994
Showing a function $f$ cannot be surjective
91682
Graph of a continuous function is closed
113503
Show that exists a not decreasing function that $f:(a,b)\rightarrow \mathbb{R}$ that is continuous only in $(a,b)\setminus D$.