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?
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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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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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