Homework Statement
f(x)=\left\{\begin{array}{cc}e^{-x^{-2}},& \mbox{ if } x!=0 \\ 0, \mbox{ if } x=0 \end{array}\right
Prove the smoothness of f(x) - as in - prove it has infinite derivatives.
I was asked this question in a calculas class i have in university...It just so happens to be...