# Math Help - converge or diverge?

1. ## converge or diverge?

Does the series converge or diverge?

Also, can u please identify what kind of series this is?

A_n = n^3/n!

thanks for any help

2. Originally Posted by rcmango
Does the series converge or diverge?

Also, can u please identify what kind of series this is?

A_n = n^3/n!

thanks for any help
Ratio test,

(n+1)^3/(n+1)! * n!/n^3

(n+1)^3/(n+1)n! * n!/n^3

(n+1)^3/(n+1)n^3

(n+1)^2/n^3

(n^2+2n+1)/n^3

1/n+2/n^2+1/n^3 --> 0

3. Originally Posted by ThePerfectHacker
Signature: A sequence of uniformly continous functions which converge uniformly, converge to a uniformly continous function.
I remember that line