• Support PF! Buy your school textbooks, materials and every day products Here!

Infinite Sequence Involving A Factorial

  • Thread starter Bashyboy
  • Start date
  • #1
1,421
5

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
Dearly Missed
10,705
1,722

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
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
1,421
5
Does it seem, to anyone, that I have left any more information out?
 
  • #5
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.
 

Related Threads for: Infinite Sequence Involving A Factorial

Replies
26
Views
4K
  • Last Post
Replies
12
Views
2K
Replies
5
Views
7K
Replies
11
Views
3K
Replies
2
Views
1K
Replies
4
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
7
Views
1K
Top