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Determine convergence of series using integral test

  1. May 12, 2009 #1
    1. The problem statement, all variables and given/known data
    How can i find if the following series is convergent or divergent using the INTEGRAL TEST?
    sigma (n=1 to infinity)= n/(n^4+1)


    2. Relevant equations



    3. The attempt at a solution
    The answer says that the initial step involves changing it to: 1/2(2x)/(1+(x^2)^2)..but why is that?
     
  2. jcsd
  3. May 12, 2009 #2

    tiny-tim

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    Hi lha08! :smile:

    (try using the X2 tag just above the Reply box :wink:)
    Because ∫dy/(1 + y2) is easy. :wink:
     
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