Taylor polynomials centered at a ≠ 0
a. Find the nth-order Taylor polynomials for the given function centered at the given point a for n = 0, 1, and 2.
b. Graph the Taylor polynomials and the Junction.
f(x)= cos x, a = π/6
In this problem we have to find the nth-order Taylor polynomials for cos x centered at the point for n = 0, 1, and 2
Taylor series is given by
Let us first find order Taylor polynomial.
In our case,
So, what we need to do to get desired polynomial is to calculate derivatives, evaluate them at the given point and plug results into given formula.
Now use calculated values in to get the polynomial.
Thus Taylor polynomial of upto with center is
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 28E from 9.1 chapter was answered, more than 278 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Taylor, polynomials, given, Centered, function. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Taylor polynomials centered at a ? 0a. Find the nth-order Taylor polynomials for the given function centered at the given point a for n = 0, 1, and 2.________________b. Graph the Taylor polynomials and the Junction.f(x)= cos x, a = ?/6” is broken down into a number of easy to follow steps, and 41 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 28E from chapter: 9.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.