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Solution: Estimating errors Use the remainder term to

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

Solution for problem 50E 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 50E

Estimating errors Use the remainder term to estimate the absolute error in approximating the following quantities with the nth-order Taylor polynomial centered at 0. Estimates are not unique.tan 0.3; n = 2

Step-by-Step Solution:

Solution 50EStep 1:In this problem we have to find the absolute error using remainder term in approximating with the -order Taylor polynomial centered at 0.Let us first find the order Taylor polynomial of tan x centered at 0.Taylor series is given by .In our caseSo, 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 of 4

Chapter 9.1, Problem 50E is Solved
Step 3 of 4

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

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Solution: Estimating errors Use the remainder term to