dextor6075 dextor6075

13-03-2024
Mathematics

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In this question, we will give an example of a function such that all its derivatives at 0 are zero. Consider the function:
[ f(x) = begin{cases} e{-{1}/{x²}}, & x ≠ 0 0, & x = 0 end{cases} ]
Show that all derivatives of ( f ) at 0 are 0.

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