a.) Use long division to derive the first four non zero terms of the Maclaurin series for f(x)= tanx b.) Differentiate the polynomial found in part a to determine the first four terms of the Maclaurin Series for f(x)= sec²x c.) will the polynomial approximated by the first three terms of the answer to part b have an error of magnitude less than 10^-3?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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a.) Use long division to derive the first four non zero terms of the Maclaurin series for f(x)= tanx b.) Differentiate the polynomial found in part a to determine the first four terms of the Maclaurin Series for f(x)= sec²x c.) will the polynomial approximated by the first three terms of the answer to part b have an error of magnitude less than 10^-3?
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