5 In this exercise we investigation the Taylor series of

Last updated: 4/9/2023

5 In this exercise we investigation the Taylor series of polynomial functions a Find the 3rd order Taylor polynomial centered at a 0 for f x x 2x 3x 1 Does your answer surprise you Explain b Without doing any additional computation find the 4th 12th and 100th order Taylor polynomials centered at a 0 for f x x 2x 3x 1 Why should you expect this c Now suppose f x is a degree m polynomial Completely describe the nth order Taylor polynomial centered at a 0 for each n