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For what values of p does the Taylor series for f(x) = (1

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

Solution for problem 6E 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 6E

For what values of p does the Taylor series for \(f(x)=(1+x)^{p}\) centered at 0 terminate?

Step-by-Step Solution:

Solution 6E

Step 1:

In this problem we have to find for what values of p does the Taylor series for centered at 0 terminate.

Taylor series centered at 0 is given by,

We have

When p=0,

The corresponding Taylor series is 1 (which terminates)

When p=1,

The corresponding Taylor series is  (which terminates)

When p=2,

The corresponding Taylor series is  (which terminates)

When p= -1,

The corresponding Taylor series is  

Therefore by above observations we conclude that for positive values of p  the Taylor series for centered at 0 terminate. That is when .

Step 2 of 1

Chapter 9.3, Problem 6E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

The answer to “?For what values of p does the Taylor series for \(f(x)=(1+x)^{p}\) centered at 0 terminate?” is broken down into a number of easy to follow steps, and 15 words. Since the solution to 6E from 9.3 chapter was answered, more than 689 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Centered, Series, Taylor, terminate, values. This expansive textbook survival guide covers 112 chapters, and 7700 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 6E from chapter: 9.3 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

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For what values of p does the Taylor series for f(x) = (1