Consider the sequence of functions $f_n(x) = 3x^n + 2x$. For what values of $x$ there exists a pointwise limit of this sequence as $n → ∞$? For what values of $a ∈ \Bbb R≥0$ this sequence converges uniformly on $[0; a]$?
So I know the answer for the first part is $x$ element of $[-1;1]$ and the second part is a element $[0;1)$ how do I get there?