Solution Found!
?(a) Find the Taylor polynomials up to degree 5 for \(f(x)=\sin x\) centered at \(a=0\)
Chapter 11, Problem 1(choose chapter or problem)
(a) Find the Taylor polynomials up to degree 5 for \(f(x)=\sin x\) centered at \(a=0\). Graph f and these polynomials on a common screen.
(b) Evaluate f and these polynomials at \(x=\pi / 4, \pi / 2\), and \(\pi\).
(c) Comment on how the Taylor polynomials converge to f(x).
Questions & Answers
QUESTION:
(a) Find the Taylor polynomials up to degree 5 for \(f(x)=\sin x\) centered at \(a=0\). Graph f and these polynomials on a common screen.
(b) Evaluate f and these polynomials at \(x=\pi / 4, \pi / 2\), and \(\pi\).
(c) Comment on how the Taylor polynomials converge to f(x).
ANSWER:Step 1 of 4
(a)
Write the Taylor polynomial with for term up to as follows.
Similarly, calculate the lower degree of Taylor polynomials.
And,