Any methoda. Use any analytical method to find the first

Chapter 8, Problem 52E

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QUESTION:

Any method

a. Use any analytical method to find the first four nonzero terms of the Taylor series centered at 0 for the following functions. In most cases you do not need to use the definition of the Taylor series coefficients.

b. If possible, determine the radius of convergence of the series.

f(x) = cos (2x) + 2 sin x

Questions & Answers

QUESTION:

Any method

a. Use any analytical method to find the first four nonzero terms of the Taylor series centered at 0 for the following functions. In most cases you do not need to use the definition of the Taylor series coefficients.

b. If possible, determine the radius of convergence of the series.

f(x) = cos (2x) + 2 sin x

ANSWER:

Solution 52EStep 1:Given thatf(x) = cos(2x) + 2 sin xStep2:To finda. Use any analytical method to find the first four nonzero terms of the Taylor series centered at0 for the following functions. In most cases you do

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