1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook