Analytic function problem

Siwasq13

New member
Joined
Apr 9, 2021
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1
Suppose f is an analytic function such that f[n](0)=n. Find f(1)
I’m just not quite sure how to approach this problem, I may need a refresher on power/Taylor series, thanks in advance.
 

HallsofIvy

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Jan 27, 2012
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Write f as a "MacLaurin series": \(\displaystyle f(x)= f(0)+ f'(0)x+ \frac{f"(0)}{2}x^2+ \cdot\cdot\cdot+ \frac{f^{[n]}(0)}{n!}x^n\).
 
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