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Infinite Sequence Involving A Factorial

  1. Sep 27, 2012 #1
    1. The problem statement, all variables and given/known data
    [itex]a_n = \frac{(2n -1)!}{(2n)^n}[/itex]


    2. Relevant equations



    3. The attempt at a solution
    I am not exactly sure how to solve this problem.
     
  2. jcsd
  3. Sep 27, 2012 #2

    Ray Vickson

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    What are you supposed to do with an? Find its limit? Sum it?

    RGV
     
  4. Sep 27, 2012 #3
    Oh, I am sorry that I did not specify. I need to take the limit as n goes to infinity of this sequence.
     
  5. Sep 28, 2012 #4
    Does it seem, to anyone, that I have left any more information out?
     
  6. Sep 29, 2012 #5
    Hint: Try looking at a bound....what's it greater than, or what's it less than. Then take the limit of that, you should have your answer.
     
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