Can you find a function that is differentiable at the origin but the function itself is not continuous at the origin?
It all depends on what your definition of "differentiable" is. For a nice discussion of that topic see
http://ocw.mit.edu/NR/rdonlyres/Mathematics/18-101Fall-2005/D6138446-02E2-4E00-B554-EA2238A88A03/0/lecture3.pdf
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Posted by Richard
on 2006-08-30 14:33:14 |