Subject: series converges or diverges?
Name: cedric
Who are you: Student

Hi,

I'm wondering how you would find if this series converges or diverges?

Sigma from 0 to infinity of (n^3 / 3^n)

Does the n^3 dominate, or does the 3^n dominate?

What about higher powers like n^10 / 10 ^ n ? Which one would dominate then?

Thanks,

Cedric

 


Cedric,

Try the Ratio Test.

Penny