Consider the following series n 1 x 1 n n 1 a Use a graphing...

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Calculus

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Consider the following series n 1 x 1 n n 1 a Use a graphing utility to graph several partial sums of the series A 3 n 3 n 1 K n 2 n 6 n 1 R O 77 n 1 V n 1 n 6 b Find the sum of the series and its radius of convergence 1 x 1 n 2 n 2 B 3 1 d Determine what the approximation represents The sum from part c is an approximation of n 6 n 1 n 6 c Use a graphing utility and 50 terms of the series to approximate the sum when x 0 25 Round your answer to six decimal places 50 1 0 75 n 2 n 2 Determine how good the approximation is Round your answer to six decimal places

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