Results 1 to 2 of 2

Math Help - Power series representation of a function

  1. #1
    Senior Member mollymcf2009's Avatar
    Joined
    Jan 2009
    From
    Charleston, SC
    Posts
    490
    Awards
    1

    Power series representation of a function

    f(x) = \frac{x^3}{(x-11)^2}

    On ones like this I usually just start with \frac{1}{1-x} & differentiate and then multiply and divide terms back in to get my final power series, but with the  ~x^3~ on top, how should I work this? I thought about just factoring out one of the x's on top and setting it outside the series, can I do that?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271

    yes

    find your powere series for 1/(x-1)^2 and multiply each term in the result by x^3 so for example a term of the form x^k becomes x^(k+3)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Power series representation of this function.
    Posted in the Calculus Forum
    Replies: 10
    Last Post: May 16th 2010, 05:37 PM
  2. Power series representation for the function
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 6th 2010, 05:20 PM
  3. Power Series, Function Representation
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 10th 2009, 05:26 AM
  4. Replies: 2
    Last Post: April 19th 2009, 02:05 PM
  5. power series representation of a function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 12th 2009, 04:00 PM

Search Tags


/mathhelpforum @mathhelpforum