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Series Problem

  • #1
Here's the problem:

If f(x)=e^(x^2), show that f^(2n)(0)=(2n)!/(n!).

Really I don't even know where to begin. Any help on where to start would be great.
 

Answers and Replies

  • #2
dx
Homework Helper
Gold Member
2,011
18
Hi leftwing1018,

Welcome to PF. Here's a hint: write f(x) as an infinite series using the well-known series expansion of ex, and then compare that with the Taylor expansion of a general function near x = 0.
 

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