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)

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- Nov 21st 2009, 10:45 PMrphagooadvanced 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) - Nov 21st 2009, 10:52 PMJose27
so taking we have

- Nov 21st 2009, 11:02 PMrphagoo
can u break down a little more please

- Nov 21st 2009, 11:17 PMJose27
Remember that and to evaluate the limit we use the squeeze theorem.

- Nov 21st 2009, 11:27 PMrphagoo
thanks so much