# Calc6.23

From Example Problems

Discuss the convergence or divergence of the series .

Another comparison test we can use is the limit comparison test. To do this test, we compare two series by looking at the ratio of their terms as . If this term is a finite positive number, then both series either converge or diverge.

Since this is a finite, positive number, then both and converge or both diverge. We know that diverges so our series also diverges.