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Taylor series centered at a 0a. Find the first | Ch 9.3 - 21E

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

Solution for problem 21E 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 21E

Taylor series centered at \(a \neq 0\)

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

b. Write the power series using summation notation.

f(x) = In x, a = 3

Step-by-Step Solution:

Solution 21EStep 1:a) In this problem we need to find first four nonzero terms of the taylor series for the function f(x) = ln(x) , centered at a = 3 .We know that , the taylor series of the function centered at ‘a’ is : f(x) = f(a) + (x-a)++Given ; f(x) = ln(x), centered at a = 3. f(x) = , then f(3) = ln(3) , then , since (ln(x)) = , then , since = , then = , then ………………Therefore , the taylor series of the function f(x) = ln(x), centered at a = 3is ; f(x) = ln(x) = f(3) +(x-3)++ = ln(3)+ (x-3)++ = ln(3) +(x-3)-+Therefore , the first four nonzero terms of the taylor series centered at ‘3’ for the function ’ are ln(3) +(x-3) -+That is , ln(3) ,(x-3) , -,First term = ln(3)Second term = (x-3)Third term = -Fourth term =

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Chapter 9.3, Problem 21E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 21E from chapter: 9.3 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “?Taylor series centered at \(a \neq 0\) a. Find the first four nonzero terms of the Taylor series for the given function centered at a. b. Write the power series using summation notation.f(x) = In x, a = 3” is broken down into a number of easy to follow steps, and 39 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 21E from 9.3 chapter was answered, more than 343 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Series, Taylor, Centered, power, nonzero. This expansive textbook survival guide covers 112 chapters, and 5248 solutions.

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Taylor series centered at a 0a. Find the first | Ch 9.3 - 21E