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CalculusQ&A LibraryBy multiplying the Taylor series for ex and sin x, find the terms through x5 of the Taylor series for ex sin x. This series is the imagi-nary part of the series for ex. eix = e^(1+i)x. Use this fact to check your answer. For what values of x should the series for ex sin x converge?Start your trial now! First week only $4.99!*arrow_forward*

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By multiplying the Taylor series for ex and sin x, find the terms through x5 of the Taylor series for ex sin x. This series is the imagi-nary part of the series for ex. eix = e^(1+i)x. Use this fact to check your answer. For what values of x should the series for ex sin x converge?

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