Thread: advanced calc diffrential prob

can someone please help me with this

let g(x) be such that l g(x) l <= M for all x in [-1,1]
let h(x) = (x^2)g(x) if x is not equal to 0
= 0 if x is equal to 0
show that h(x) is diffrentiable at x = 0 and find h'(0)

so taking we have

can u break down a little more please

Remember that and to evaluate the limit we use the squeeze theorem.

thanks so much