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2 :1 (2n +1)(2n+ 3) ' a. Use partial fraction decomposition to rewrite the sequence formula. b. Write out the first three partial sums. You

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2 \":1 (2n +1)(2n+ 3) ' a. Use partial fraction decomposition to rewrite the sequence formula. b. Write out the first three partial sums. You do not need to simplify the results. c. Find a formula for the kth partial sum and compute the limit as k approaches infinity. d. Does the series converge or diverge? If it converges, what is its sum? 5. Consider the innite series

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