# Infinite Sequence Involving A Factorial

## Homework Statement

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

## The Attempt at a Solution

I am not exactly sure how to solve this problem.

Ray Vickson
Homework Helper
Dearly Missed

## Homework Statement

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

## 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

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

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

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.