State where

$\displaystyle f_n(x)=x^{2n}-x^{n}, x \in \left[ -1, 1\right]$

is pointwisely convergent and find a limit function.

then assess if $\displaystyle f_n(x)=x^{2n}-x^{n}, x \in \left[ -1, 1\right]$ is uniformly convergent for $\displaystyle x \in \left[ 0, \frac{1}{2} \right]$

please help