1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
    Gold Member
    2016 Award

    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Taylor Series
  1. Taylor series (Replies: 13)

  2. Taylor series (Replies: 3)

  3. Taylor series (Replies: 14)

  4. Taylor Series (Replies: 2)

  5. Taylor series (Replies: 15)

Loading...