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Homework Help: Taylor Series

  1. Apr 8, 2013 #1
    1. The problem statement, all variables and given/known data

    Find the Taylor Series for f(x) = 1/(1-6) centered at c=6

    2. Relevant equations


    Ʃ Fn(a)(x-a)/n!
    n=0

    3. The attempt at a solution

    I believe that the nth derivative of 1/(1-6x) is

    (-6)n-1n!/(1-6x)n+1

    So i figured that the taylor series at c=6 would be

    (-6)n-1(x-6)n/(1-6x)n+1

    What am I doing wrong here?
     
  2. jcsd
  3. Apr 9, 2013 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper

    Did you mean: $$f(x) = \frac{1}{1-6x}$$ ... from below, it appears so.
    What leads you to believe that?
    Start from the definition of the Taylor series.
    Try writing out the 1st 3-4 terms and see if you spot a pattern.
     
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