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# How is the remainder in a Taylor polynomial defined? ISBN: 9780321570567 2

## Solution for problem 5E Chapter 9.1

Calculus: Early Transcendentals | 1st Edition

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Problem 5E

Problem 5E

How is the remainder in a Taylor polynomial defined?

Step-by-Step Solution:

Solution 5E

Step 1:

Remainder in a taylor polynomial( ) ;Suppose that f is n+1 times differentiable and let denote the difference between f(x) and the Taylor polynomial of degree n for f(x) centered at a.

Then, (x) = f(x) - (x) = .

That is ,

Taylor series; f(a) + +   +............

Taylor polynomial ; f(a) + +   Remainder term ; (x) = + + ………….

| (x)| = | |.

Step 2 of 1

##### ISBN: 9780321570567

Since the solution to 5E from 9.1 chapter was answered, more than 257 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 5E from chapter: 9.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “How is the remainder in a Taylor polynomial defined?” is broken down into a number of easy to follow steps, and 9 words. This full solution covers the following key subjects: defined, polynomial, Remainder, Taylor. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. 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.

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How is the remainder in a Taylor polynomial defined?