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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.

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- Thread starter leftwing1018
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- #1

- 1

- 0

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.

- #2

Homework Helper

Gold Member

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Welcome to PF. Here's a hint: write f(x) as an infinite series using the well-known series expansion of e

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