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

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William Elliot

Posts: 1,660
Registered: 1/8/12
Differentiability
Posted: Feb 20, 2013 11:13 PM
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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.




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