Examine $L_1, L_2$ for differentiability

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I need help

let $h: ℝ → ℝ$ be a limited function and let :

$L_1:ℝ → ℝ, x → xh (x)$

$L_2:ℝ → ℝ, x → x²h (x)$

The problems: examine $L_1$ and $L_2$ for differentiability and for continuity at the point $x_0 = 0$.

I don't know how to start and what follows after the limitedness of $h$?