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Does this Series Converge or Diverge, by which test(s)?

  1. Dec 28, 2011 #1
    1. The problem statement, all variables and given/known data

    Does The series Ʃ (2n)!/(n-1)*3^n converge or diverge?

    (Starts at n=2 to infinity )

    2. Relevant equations

    3. The attempt at a solution

    I tried the ratio test and nth-term test, and ended up with infinity, I'm not sure about it's convergence.
  2. jcsd
  3. Dec 28, 2011 #2


    User Avatar
    Science Advisor
    Homework Helper

    If the ratio you get from the ratio test goes to infinity, then the series diverges.
  4. Dec 28, 2011 #3
    Ohh no wonder. Thank you! I forgot that if L>1 (L being the limit) that it converges
  5. Dec 28, 2011 #4


    Staff: Mentor

    No, if L > 1, it diverges.
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