Choosing a Test for Convergence III

In this video, Dr. Reynhout discusses choosing a test for convergence for ten different series. In many cases, including some of these examples, more than one test could be used for determining convergence and divergence. There are ten tests under consideration for this example:
(1) nth-term test
(2) geometric series test
(3) telescoping series test
(4) p-series test
(5) integral test
(6) direct comparison test
(7) limit comparison test
(8) alternating series test
(9) ratio test
(10) root test