After defining an alternating series, we examine the two key parts of the Alternating Series Test; that is, an alternating series will converge if its terms are decreasing in magnitude toward zero. Duration: 10:16

In Examples 1 and 2, we apply the Alternating Series Test to determine whether a couple of series converges, and in the process, we will see what happens when the AST fails. Duration: 9:07

In this final example for Objective 1, we use the first derivative to show that the terms of our sequence are decreasing, an alternative approach you can take when the establishing an inequality just isn't feasible. Duration: 11_36