Question

Determine whether the sequence converges or diverges. If it converges, find the limit.

Answer 1

\[\left\{ \frac{ (2n-1)! }{ (2n+1)! } \right\}\]

Answer 2

\[(2n+1)!=(2n+1)(2n)(2n-1)!\]

Answer 3

Why are we multiplying the denominator with (2n)? Do we look at the 1st term, such as (2n + 1) and that is where we get the (2n) from?

Answer 4

Notice that 5! = 5*(5-1)!

Answer 5

In general :
n! = n*(n-1)!