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Solved: Binomial seriesa. Find the first four nonzero

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

Solution for problem 30E Chapter 9.3

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 30E

Binomial series

a. Find the first four nonzero terms of the Taylor series centered at 0 for the given function.

b. Use the first four terms of the series to approximate the given quantity.

; approximate .

Step-by-Step Solution:

Solution 30E

Step 1:

(a).We have to find the first four nonzero terms of the taylor series centered at 0 for the function

ie,  we have to find the terms of the maclaurin series for

The maclaurin series of a function

Therefore

Therefore...

Step 2 of 3

Chapter 9.3, Problem 30E 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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Solved: Binomial seriesa. Find the first four nonzero

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