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Approximations with Taylor polynomialsa. Use | Ch 9.1 - 26E

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

Solution for problem 26E 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 26E

Problem 26E

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 − 3x + 6x2.

Step-by-Step Solution:

Solution 26E

Step 1:

In this problem , we have to find out the approximation value by using taylor's polynomial.

          The Taylor polynomial of degree n centered at x = a approximating the function f(x) is;

  = f(a) +(x-a) +

            =

Step 2 of 3

Chapter 9.1, Problem 26E is Solved
Step 3 of 3

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

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Approximations with Taylor polynomialsa. Use | Ch 9.1 - 26E