Euler’s Identity By multiplying the Taylor series for ex

Chapter 10, Problem 71E

(choose chapter or problem)

Euler’s Identity By multiplying the Taylor series for ?ex? ? ?and sin ?x?, find the terms through x? ?5 of the Taylor series for ?e?xsin?x. ?This series is the imaginary part of the series for Use this fact to check your answer. For what values of x ? ?should the series for ?e?xs? ?converge?

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