# Math Help - lipschitz functions

1. ## lipschitz functions

I need to show that $f(x)=\sqrt[3]{x}$ and
$g(x)=xsin(\frac{1}{x})$ for $x\in (0,1]$ are NOT Lipschitz.
Im a little lost on how to proceed.

2. is it enough to show that they are not uniformly continuous?
if so Im still not sure how to show that f(x) is not uniformly continous

3. Necessary condition for a function to be 'Lipschitz' is that its derivative is bounded in all the interval of definition...

Kind regards

$\chi$ $\sigma$