I'm currently reading a book, The Road To Reality by Roger Penrose, and trying to tackle some of the exercises in the process. My knowledge in mathematics is limited, but broad enough to complete some of the exercises. Anyway, one of them wants you to consider the one function [tex]e^{\frac{-1}{x^{2}}}[/tex] and show that it is [tex]C^{\infty}[/tex] but not analytic..(adsbygoogle = window.adsbygoogle || []).push({});

The entire concept of C-infty functions has been hard to grasp... can anyone explain? (such as proving a function to be C-infty)

Thanks!

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# Showing that a function is C infinity?

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