Hello, I have been looking around for how to solve these to series by the integral test.

Problem 1 Evaluate

∞

Σ (n^(1/n))/n^3

n=1

decide if the series converges or diverges?

And,

Problem 2 Evaluate

∞

Σ (3^n*n!)/(3k)!

n=1

decide if the series converges or diverges?