Calculus: Early Transcendentals (3rd Edition)

3rd Edition

ISBN: 9780134763644

Author: William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher: PEARSON

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Textbook Question

Chapter 11.2, Problem 64E

Scaling power series If the power series f ( x ) = ∑ c k x k has an interval of convergence of |x| < R, what is the interval of convergence of the power series for f(a), where a ≠ 0 is a real number?

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Chapter 11.2, Problem 63E

Chapter 11.2, Problem 65E

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Chapter 11 Solutions

Calculus: Early Transcendentals (3rd Edition)

Ch. 11.1 - Verify that p3 satisfies p3(k)(a)=f(k)(a), for k =...Ch. 11.1 - Verify the following properties for f(x) = sin x...Ch. 11.1 - Why do the Taylor polynomials for sin x centered...Ch. 11.1 - Write out the next two Taylor polynomials p4 and...Ch. 11.1 - At what point would you center the Taylor...Ch. 11.1 - In Example 7, find an approximate upper bound for...Ch. 11.1 - Suppose you use a second-order Taylor polynomial...Ch. 11.1 - Does the accuracy of an approximation given by a...Ch. 11.1 - The first three Taylor polynomials for f(x)=1+x...Ch. 11.1 - Suppose f(0) = 1, f(0) = 2, and f(0) = 1. Find the...

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Scaling power series If the power series f ( x ) = ∑ c k x k has an interval of convergence of | x | < R , what is the interval of convergence of the power series for f ( a ), where a ≠ 0 is a real number?

Solution Summary: The author explains how to find the interval of convergence for f(a).

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Chapter 11 Solutions

Additional Math Textbook Solutions

Scaling power series If the power series f ( x ) = ∑ c k x k has an interval of convergence of | x | &lt; R , what is the interval of convergence of the power series for f ( a ), where a ≠ 0 is a real number?

Solution Summary: The author explains how to find the interval of convergence for f(a).

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Chapter 11 Solutions

Additional Math Textbook Solutions

Scaling power series If the power series f ( x ) = ∑ c k x k has an interval of convergence of | x | < R , what is the interval of convergence of the power series for f ( a ), where a ≠ 0 is a real number?