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Solution: Taylor polynomials Find the nth-order Taylor

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 6RE Chapter 9

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 6RE

Taylor polynomials Find the nth-order Taylor polynomial for the following functions with the given center point a.

f(x) =cosx, n = 2, a = π/4

Step-by-Step Solution:

Solution 6RE

Step 1:

In this problem we have to find the -order Taylor polynomial for function  with the given center point a=.

Taylor series is given by

In our case,

That is

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.

Step 2:

Then

Then

Then

Step 3 of 3

Chapter 9, Problem 6RE is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Solution: Taylor polynomials Find the nth-order Taylor

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