Question

How can you tell that (-1)^n (1/n)^(1/n) diverges?

Answer 1

because the limit of the term is not zero, it is 1

Answer 2

ohhhhhhhhh wow that was obvious. I keep trying to apply the more advanced tests, and I forget about the basic ones like limit tests... (1/n) -> 0, so (anything) ^0 = 1... coolio