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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9 - Problem 38re
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9 - Problem 38re

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# Convergence Write the remainder term Rn(x) for the Taylor

ISBN: 9780321570567 2

## Solution for problem 38RE Chapter 9

Calculus: Early Transcendentals | 1st Edition

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Problem 38RE

Convergence Write the remainder term Rn(x) for the Taylor series for the following functions centered at the given point a Then show that for all x in the given interval. f(x) - sin x, a = 0, -< x

Step-by-Step Solution:

Solution 38REStep 1 of 2:In this problem we need to find the remainder term in the taylor series expansion of at center a = 0 , and we have to prove that = 0. Thus the Taylor series of with center 0 is as follows; Given : f(x) = , then f(0) = = 0 , since = = cos(x), then = cos(0) = 1 = = , then = = 0 = = , then = = -1 …………………….sin(x) or cos(x) 0r sin(+x) and …………(1) Therefore , the Taylor series of with center 0 is as follows; ……. = - + -........

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##### ISBN: 9780321570567

The answer to “Convergence Write the remainder term Rn(x) for the Taylor series for the following functions centered at the given point a Then show that for all x in the given interval. f(x) - sin x, a = 0, -< x <” is broken down into a number of easy to follow steps, and 40 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: given, Remainder, functions, Centered, interval. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 38RE from 9 chapter was answered, more than 287 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 38RE from chapter: 9 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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