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## Homework Statement

[tex]\Sigma[/tex]2

^{n}n!/(n+2)!

## Homework Equations

I'm using the ratio test because there are factorials but I'm a little stuck on whether or not to factor out

## The Attempt at a Solution

lim 2

^{n+1}(n+1)!/(n+3)!*(n+2)!/2

^{n}(n)! After I set it up here I'm not sure of how to factor out the factorials. would it end up looking like 2(n+1)(n+2)/(n+3) ?