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Help with Telescoping Series Problem

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  1. Apr 9, 2014 #1
    1. The problem statement, all variables and given/known data

    Problem is attached in this post.


    2. Relevant equations

    Problem is attached in this post.

    3. The attempt at a solution

    Attempt at solution is attached.

    Apparently the answer is -pi/6, however I've solved for it several times and keep getting my answer as pi/3 via Telescoping Series
     

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  2. jcsd
  3. Apr 9, 2014 #2

    Dick

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    The arccos terms in your telescoping series are not approaching 0. You can't ignore everything after the ... You need to take a limit of the partial sum.
     
  4. Apr 9, 2014 #3
    How would I go about solving for the partial sum?
     
  5. Apr 9, 2014 #4

    Dick

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    Telescope the sum up to an upper limit of N instead of infinity. Then take the limit of the result as N->infinity.
     
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