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# Find the first seven terms of the Maclaurin expansion of f ISBN: 9781111427412 173

## Solution for problem 21.16 Chapter 21

Advanced Engineering Mathematics | 7th Edition

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Problem 21.16

Find the first seven terms of the Maclaurin expansion of f (z) = sin2 (z) in four ways, as follows. (a) First, compute the Taylor coefficients at 0. (b) Find the first seven terms of the product of the Maclaurin series for sin(z) with itself. (c) Write sin2 (z) in terms of the exponential function and use the Maclaurin expansion of this function. (d) Write sin2 (z) = (1 cos(2z))/2, and use the Maclaurin expansion of cos(z)

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##### ISBN: 9781111427412

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