Recent content by ARozanski

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    Urgent: Prove Smoothness of f(x) with Infinite Derivatives

    Thanks a lot for all your help...I have finished the project and it looks alright.
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    Urgent: Prove Smoothness of f(x) with Infinite Derivatives

    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...