Finding a series

Question

Find a series that has some negative terms that can converge absolutely by using limit comparison test and compare it to 1 over n².

Answer 1

From what you write it is not clear what you mean. For example if you take the series (sum over n of ((-1)^{n})/(n^2)) then this series converges absolutely since it is just the series over n of 1/(n^{2}) which is summable by the p-test (p=2 here).