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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.1 - Problem 65e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.1 - Problem 65e

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# Explain why or why not Determine whether the | Ch 9.1 - 65E ISBN: 9780321570567 2

## Solution for problem 65E Chapter 9.1

Calculus: Early Transcendentals | 1st Edition

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Problem 65E

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.a. The Taylor polynomials for f(x) = e?2x consist of even powers only.b. For f(x) = x5 ? 1, the Taylor polynomial of order 10 centered at x = 0 is f itself.c. The nth-order Taylor polynomial for centered at 0 consists of even powers of x only.

Step-by-Step Solution:

Solution 65EStep 1:In this problem we have to check whether the given statements are true or not.a. The Taylor polynomials for consist of even powers only.The given statement is false.Reason: Let us find the taylor polynomial for The Taylor series is given by For n=0 For n=1 For n=2 For n=3 ….Thus the taylor polynomial is Therefore Hence the Taylor polynomials for consists of both even and odd powers.So the given statement is wrong.

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##### ISBN: 9780321570567

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.a. The Taylor polynomials for f(x) = e?2x consist of even powers only.b. For f(x) = x5 ? 1, the Taylor polynomial of order 10 centered at x = 0 is f itself.c. The nth-order Taylor polynomial for centered at 0 consists of even powers of x only.” is broken down into a number of easy to follow steps, and 65 words. The full step-by-step solution to problem: 65E from chapter: 9.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 65E from 9.1 chapter was answered, more than 291 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Taylor, polynomial, powers, Centered, order. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.

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