# Math Help - Convergence, Absolute Convergenge and Divergence

1. ## Convergence, Absolute Convergenge and Divergence

Determine whether each of the following absolutely converges, converges but not absolutely, or diverges:

2. Originally Posted by My Little Pony
Determine whether each of the following absolutely converges, converges but not absolutely, or diverges:
Do you have any thoughts on any of these?

3. I think I got number 1.

From the limit test, we end up getting:

(-7)^n as n approaches infinity. Since this does not approach a number, it is divergent?

4. Also number 4 fails the test for divergence, because as n approaches infinity, the limit is 0. Therefore, it is convergent?