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?

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

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

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