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Explain the strategy presented in this section for

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

Solution for problem 1E Chapter 9.4

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 1E

Explain the strategy presented in this section for evaluating a limit of the form ,where f and g have Taylor series centered at a.

Step-by-Step Solution:

Solution 1EStep 1:In this problem we have to explain how to evaluate a limit of the form where f and g have Taylor series centered at a.Consider Since and have Taylor series centered at Substitute the taylor series expansion of and in Then simplify by cancelling the like term with opposite terms and substitute the limit.For example, consider The Taylor series of with center is Therefore Cancel 1, we get

Step 2 of 1

Chapter 9.4, Problem 1E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Explain the strategy presented in this section for