Infinite Sequence Involving A Factorial

[Bashyboy]

Homework Statement

a_n = \frac{(2n -1)!}{(2n)^n}

Homework Equations

The Attempt at a Solution

I am not exactly sure how to solve this problem.

 

[Ray Vickson]

Homework Statement

a_n = \frac{(2n -1)!}{(2n)^n}

Homework Equations

The Attempt at a Solution

I am not exactly sure how to solve this problem.

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

RGV

 

[Bashyboy]

Oh, I am sorry that I did not specify. I need to take the limit as n goes to infinity of this sequence.

 

[Bashyboy]

Does it seem, to anyone, that I have left any more information out?

 

[ag3287]

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.