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Approximations with Taylor polynomialsa. | Ch 9.1 - 40E

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

Solution for problem 40E Chapter 9.1

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 40E

Approximations with Taylor polynomialsa. Approximate the given quantities using Taylor polynomials with n = 3.b. Computer the absolute error in the approximation assuming the exact value is given by a calculator.

Step-by-Step Solution:

Solution 40EStep 1:A Taylor series of function f(x) at a is defined as :-Taking Finding Taylor polynomial of with and centered at a, we get To approximate , we take

Step 2 of 5

Chapter 9.1, Problem 40E is Solved
Step 3 of 5

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Approximations with Taylor polynomialsa. | Ch 9.1 - 40E