Does this series converge or diverge?
Series from n=1 to infinity n(-3)^(n+1) / 4^(n-1)
The Attempt at a Solution
Okay, I've tried it both ways.
lim n --> inf. ((n+1)*(-3)^(n+1)/4^n) / (n * (-3)^n / 4^(n-1))
Now, that doesn't appear to simplify in anyway that would make using l'hospital's rule possible to find the limit.
lim n --> inf. of -3*n^(1/n) / 4^((n-1)/n)
That bottom part throws me off.