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Solved: Approximations with Taylor polynomialsa. Use the

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

Solution for problem 22E 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 22E

Approximations with Taylor polynomials

a. Use the given Taylor polynomial p2 to approximate the given quantity.

b. Compute the absolute error in the approximation assuming the exact value is given by a calculator.

Approximate  using  and p2(x) = 1 + x/3 − x2/9.

Step-by-Step Solution:

Solution 22EStep 1:        Given         To approximate , we use                 Step 2:        Using in , we get                        Hence the approximate value of using taylor polynomial is .

Step 3 of 3

Chapter 9.1, Problem 22E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Solved: Approximations with Taylor polynomialsa. Use the