Question

Does the series `sum_(n=1)^oo(1+1/n)^(n^2)` converge or diverge?

Answer 1

diverges

Explanation:

This is a series in which

`a_n = (1+1/n)^(n^2) > 1` then as a consequence

`sum_(n=1)^oo a_n -> oo` diverging.