- #1

ProPatto16

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## Homework Statement

determine whether [tex]\sum[/tex] n! / (n+2)! converges or diverges. if it converges, give the limit.

## The Attempt at a Solution

i can see that this converges and the limit is 1/2

but i don't know how to mathematically show it... how can i factorise out the 1/2? so i have 1/2!*n!/n! which would give 1/2!*1=1/2

because n! / (n+2)! is

__not__equal to n!/ (n!+2!)...