I'm kinda stuck on this problem. Would someone give me a hand?

Suppose is differentiable and is differentiable at . Show that

Is there a function that satisfies this limit but is not differentiable at ?

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- Feb 17th 2010, 12:16 AMjackieSecond differentiability
I'm kinda stuck on this problem. Would someone give me a hand?

Suppose is differentiable and is differentiable at . Show that

Is there a function that satisfies this limit but is not differentiable at ? - Feb 17th 2010, 12:56 AMchisigma
For the function...

(1)

... in the limit exists and it is equal to 0 but its derivative is not differenziable in that point...

Kind regards

- Feb 17th 2010, 09:55 PMDrexel28