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Representing a Sum of a Series as a Function

  1. Dec 12, 2009 #1
    1. The problem statement, all variables and given/known data
    http://i29.photobucket.com/albums/c252/lostsun/problem_statement.jpg" [Broken]
    Find a function to represent the series and then find f(?) that will represent its sum.

    2. Relevant equations



    3. The attempt at a solution
    I kind of understand how to come up with a function, but then how do I know what value to plug into the function to get the sum? Thank you for any help!
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Dec 12, 2009 #2

    zcd

    User Avatar

    it should help to know that [tex]\tan{x}=\sum_{n=0}^{\infty}(-1)^{n}\frac{x^{2n+1}}{2n+1}[/tex]
     
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