- #1
bobsmith76
- 336
- 0
Homework Statement
Investigate the convergence of the following series.
(2n)!/(n!n!)
The Attempt at a Solution
Number one, I don't see how they get that
if an = (2n)!, then an+1 = ((2n+2))!, it should be (2n+1)!
Number two, I don't see how they go to the second step, why is the second step not:
(n!n!(2n+2)!)/((n+1)!(n+1)!(2n)!)? why do they have that extra (2n)! in the numerator?
Number three, I don't see why n!n! cancels in the numerator in step 3.