Reducing Factorials: Is the Answer 1/[2n*2n+1]?

[pugfug90]

Homework Statement

(2n-1)!/(2n+1)!

Homework Equations

The Attempt at a Solution

...2n-2*2n-1
------------ (pretend that's a divider)
...2n-2*2n-1*2n*2n+1

Is the answer 1/[2n*2n+1]?

 

[Dick]

It sure is.

 

[HallsofIvy]

But it would look better with an additional pair of parentheses:
1/[2n(2n+1)]. I would have been inclined to interpret what you have as
1/(2n²+1).

 

[pugfug90]

Thanks :)