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Which convergence test to use

  1. May 3, 2010 #1
    1. The problem statement, all variables and given/known data

    ∑(k(k+2))/(k+3)^2 I honestly have no idea where to start with this I was going to try a ratio test but I wasn't sure if it would be (k+1)(k+3)/(k+4)2*(k+3)2/(k(k+2)

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. May 3, 2010 #2
    What is the limit as k goes to infinity of

    [tex]\frac{k(k+2)}{(k+3)^{2}}[/tex] ?

    What does this tell you?
  4. May 3, 2010 #3
    Big Hint: Going off of what Dunkle said, use Divergence Test.
  5. May 4, 2010 #4
    Yea I was trying my hardest to make this problem way harder than it needed to be. Thanks a lot for your help.
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