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Series Problem

  1. May 3, 2009 #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.
     
  2. jcsd
  3. May 3, 2009 #2

    dx

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    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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