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

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

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Science, Mathematics

University

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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.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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