Root test.

1. Nov 27, 2013

Jbreezy

1. The problem statement, all variables and given/known data

Ʃ ((n!)^n) /(4^(4n))

2. Relevant equations

Root test?

3. The attempt at a solution

Can you do .... the root test so then you will get rid of exponents n and you have

(n!)/n^4 then take the limit and you get ∞ so the original sum is divergent?

2. Nov 27, 2013

Dick

Yes, you use the root test. But the nth root of 4^(4n) isn't n^4.