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Topic: Differentiability
Replies: 8   Last Post: Mar 1, 2013 6:22 PM

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Robin Chapman

Posts: 366
Registered: 5/29/08
Re: Differentiability
Posted: Feb 21, 2013 6:37 AM
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On 21/02/2013 04:13, William Elliot wrote:
> A problem from
> http://at.yorku.ca/cgi-bin/bbqa?forum=ask_an_analyst&task=list
> Suppose f(x)= e^(-1/x^2) for x not equal to 0, and f(0)=0.
> Without using l'hopital's rule, prove f is differentiable at 0 and
> that f'(0)=0.

This is a very standard example.

A tougher problem would be to prove this *using* The Hospital's rule :-)

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