1. Math
  2. Calculus
  3. 1 in this problem you are going to calculate the...

Question: 1 in this problem you are going to calculate the...

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1. In this problem you are going to calculate the McLaurin series (that is, the Taylor series about a 0) sin(r2) of the function. (a) Write the McLaurin series of the function sin(x). Show the expression for the nth term (b) Substituting a by in the McLaurin series of sin(x), calculate the Mclaurin series of sin(x2) Show the expression for the nth term. sin(r2) (c) Using the result obtained in (b), obtain the McLaurin series of Show the expression for the nth term. sin(x2) (d) Using the first non zero terms of the McLaurin series of estimate the value of sin(a2) dz with at least four decimal places. (e) An approximate numerical value of the integral the integral f snd is 0.47301. Compare your result with this value and estimate the relative error relative eror approx value umerical value numerical value (not the absolute error)

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