Converging to Infinity: Solving the Limit of n!²/(2n)!

[bluedevilgirl]

Homework Statement

Find the limit of the given sequence as n -> inf.

((n!)^2)/(2n)!

Homework Equations

We have been told that the squeeze theorem may be helpful.

The Attempt at a Solution

Using the squeeze theorem, I get stuck. I tried factoring some things out, and seem to be extremely stuck.

 

[Bohrok]

Try the ratio test; I'm quite sure I did this sum that way once.