Consider T3(x), the 3rd degree Taylor polynomial of f(x) = ln(1 + 2x) centered at a =1. Use the Taylor Polynomial Error
Posted: Thu May 12, 2022 6:29 am
Consider T3(x), the 3rd degree Taylor polynomial of f(x) = ln(1 + 2x) centered at a =1. Use the Taylor Polynomial Error Bound to estimate the accuracy of the approximation f(x) — T3(x) for 1 < x < 2. As always, be sure to give an exact answer, a decimal approximation is not enough and not needed. (Your answer should not depend on x or n.) o lerror 1 < 6 O 4 4 error < 125 O 4 error < 81 O error 64 81 O [error] = < 4 625