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Maclaurin Polynomials

Throughout this exercise, g(x) = cos x and Pn(x) (n is a subscript) is the Taylor (Maclaurin) polynomial of order n based at x = 0.

a) Find formulas for Pο (ο is a subscript) through P6 (6 is a subscript), the Maclaurin polynomials through order 6 for g based at x = 0. Please label on graph

b) Is g odd, even, or neither? What about the Maclaurin polynomials for g found in part (a)? How do the graphs "reflect" the situation?

Solution Summary

Maclaurin polynomials are investigated. The solution is detailed and well presented.