Thread: 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

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

Originally Posted by ThePerfectHacker

Signature: A sequence of uniformly continous functions which converge uniformly, converge to a uniformly continous function.

I remember that line