Homework+25+-+Power+Series

A f x 1 5x b f x 1 16 2 x 3 4 a

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Unformatted text preview: 2 x 3 4) a) Use differentiation to show that 1 x n n n 1 2 b) Use the result in a) to evaluate . 2 nx n 1 for x 1. n 1 5) a) Use the power series for y e x to show that 1111 e 2! 3! 4! b) Use your knowledge of alternating series to find an N such that the partial sum SN approximates e‐1 to within an error of at most 10‐3. You may confirm your answer with a calculator by computing both SN and e‐1....
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