Open Question: Show that there is no positive number M such that for each natural number n ...?

6:38 Publicado por Anónimo

f(x) = e^-(1/x^2) if x ? 0.
f(x) = 0 if x = 0.

Show that there is no positive number M such that for each natural number n,
|f^(n)(x)| = M^n for all x.


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