Infinite Sequence Involving A Factorial

  • Thread starter Bashyboy
  • Start date
  • #1
Bashyboy
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Homework Statement


[itex]a_n = \frac{(2n -1)!}{(2n)^n}[/itex]


Homework Equations





The Attempt at a Solution


I am not exactly sure how to solve this problem.
 

Answers and Replies

  • #2
Ray Vickson
Science Advisor
Homework Helper
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Homework Statement


[itex]a_n = \frac{(2n -1)!}{(2n)^n}[/itex]


Homework Equations





The Attempt at a Solution


I am not exactly sure how to solve this problem.

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

RGV
 
  • #3
Bashyboy
1,421
5
Oh, I am sorry that I did not specify. I need to take the limit as n goes to infinity of this sequence.
 
  • #4
Bashyboy
1,421
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Does it seem, to anyone, that I have left any more information out?
 
  • #5
ag3287
6
0
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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