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Determining Convergence/Divergence Of Infinite Series

  1. Oct 2, 2012 #1
    1. The problem statement, all variables and given/known data
    I attached the solution to the problem.


    2. Relevant equations



    3. The attempt at a solution
    I can see that the infinite series diverges by looking at a few terms, but how would I find a general term for the infinite series, to evaluate it analytically?
     

    Attached Files:

  2. jcsd
  3. Oct 2, 2012 #2

    jbunniii

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    If your goal is to prove that the series diverges, you don't necessarily need to find an expression for the general term (by which I assume you mean the n'th partial sum).

    There is a very simple test which you should always apply as the first step. If this test fails, the series diverges. What test am I referring to?
     
  4. Oct 2, 2012 #3
    Would it be the nth term test?
     
  5. Oct 2, 2012 #4

    jbunniii

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    Yes. What does that test imply for this series?
     
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