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By the alternating series test the series 3 k k 4 3 4k First find...

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Calculus

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By the alternating series test the series 3 k k 4 3 4k First find the partial fraction decomposition of 3 4k16 L 8 Or k 1 3 1 1 k k 4 3 k k 4 Then find the limit of the partial sums 3 1 k 1 k k 4 k 1 Enter your answer for the sum as a reduced fraction converges Find its sum Hint The alternating series is a telescoping series Write down its terms using the partial fractio decomposition until some terms cancel

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