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I. In this problem you are going to calculate the McLaurin series (that is, the Taylor series about x = 0) of the function sin(2.2) (a) Write the McLaurin series of the function sin(x). Show the expression for the nth term. (b) Substituting by r2 in the McLauin series of sin(x), calculate the Mclaurin series of sin(z2) Show the expression for the nth term. sin(z2) (c) Using the result obtained in (b), obtain the McLaurin series of Show the expression for the nth term sin(a2) (d) Using the first non zero terms of the McLaurin series ofestimate the value of Sin(2dr 0 with at least four decimal places (e) An approximate numerical value of the integral sn2dr is 0.47304. Compare your result 0 with this value and estimate the relative error relative erroapprox value - numerical value numerical value (not the absolute error)

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