Solution Found!
Answer: Approximationsa. Find the Taylor polynomials of
Chapter 1, Problem 9RE(choose chapter or problem)
Approximations
a. Find the Taylor polynomials of order n = 0, 1, and 2 for the given functions centered at the given point a.
b. Make a table showing the approximations and the absolute error in these approximations using a calculator for the exact function value.
\(f(x)=e^{x}, \quad a=0\); approximate \(e^{-0.08}\).
Questions & Answers
QUESTION:
Approximations
a. Find the Taylor polynomials of order n = 0, 1, and 2 for the given functions centered at the given point a.
b. Make a table showing the approximations and the absolute error in these approximations using a calculator for the exact function value.
\(f(x)=e^{x}, \quad a=0\); approximate \(e^{-0.08}\).
ANSWER:Solution 9REStep 1:The general notation of a taylor series is given by Here when a=0 the series is called maclaurin series.Here We need to find the Taylor polynomials of order n = 0, 1. and 2 for the given functions centered at the given point a.Therefore the taylor series for f(x)= and a=0 is For order For order For order