Find the first seven terms of the Maclaurin expansion of f
Chapter 21, Problem 21.16(choose chapter or problem)
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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