Series | Alternating Series Test (with Conditional/Absolute Convergence): Examples 4 & 5

Series | Alternating Series Test (with Conditional/Absolute Convergence): Examples 4 & 5

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Science, Mathematics

University

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The video tutorial explores the alternating series test, focusing on two main criteria: the limit of B sub N as N approaches infinity and the decreasing nature of the function. The tutorial uses calculus techniques, including L'Hôpital's rule and derivatives, to verify these criteria. It also discusses absolute and conditional convergence, employing the comparison test to determine the convergence of series. Two examples are provided to illustrate these concepts, highlighting the importance of understanding series behavior and convergence tests.

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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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