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Maclaurin series

  1. May 21, 2007 #1
    1. The problem statement, all variables and given/known data
    find [tex]a_{n}[/tex] for [tex]f(x)\ =\ \frac{1}{1+3x}[/tex]

    3. The attempt at a solution
    I got:
    f(0) = 1
    f'(0) = -3
    f''(0) = 9

    The answer I ended up with was:
    [tex]a_{n} \ = \ {(-1)}^n\frac{3^n}{n!}[/tex]

    However, the answer in the back of my book has the same answer except it's not divided by n!.
  2. jcsd
  3. May 22, 2007 #2
    the n! is cancelled out somehow. Recheck your workings.

    Hint: Find f^n(x). I don't know what's the notation for the nth derivative of f(x)
  4. May 22, 2007 #3
    Okay I see it now, thanks.
  5. May 22, 2007 #4
    you're welcome :)
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