# Thread: Help with series problem

1. ## Help with series problem

series n to inf of [5(-1)^n] / [n^(2/n)]

i tried the direct comparison test with the absolute value of the function, but it ends up diverging. So, the series does not absolutely coverge. Then i tried to do the nth test test, and i think the limit is non zero. because of the alternative sign and b-sub n is = 5 for limit

2. ## Re: Help with series problem

You are correct. The nth term doesn't go to 0 so the series diverges.