Series | Alternating Series Test (with Conditional/Absolute Convergence): Examples 1 & 2

The video tutorial explains the alternating series test, providing an example series to illustrate the test's criteria for convergence. It discusses the two main criteria: the limit of B sub N must be zero, and B sub N must be decreasing. The tutorial then differentiates between conditional and absolute convergence, using the harmonic series as an example. A second example is provided to show a case where the test is inconclusive, leading to a discussion on divergence.

What is the significance of the harmonic series in relation to the convergence of an alternating series?

In the second example, why did the first criterion of the alternating series test fail?

What conclusion can be drawn if both criteria of the alternating series test are not satisfied?