MyLab Math with Pearson eText -- 24 Month Access -- for Calculus with Integrated Review

3rd Edition

ISBN: 9780135243435

Author: Bill Briggs

Publisher: Pearson Education (US)

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Textbook Question

Chapter 11, Problem 47RE

Convergence Write the remainder term R_n(x) for the Taylor series for the following functions centered at the given point a. Then show that lim n → ∞ | R n ( x ) | = 0 , for all x in the given interval.

47. f(x) = sinh x + cosh x, a = 0, −∞ < x < ∞

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Chapter 11, Problem 46RE

Chapter 11, Problem 48RE

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Chapter 11 Solutions

MyLab Math with Pearson eText -- 24 Month Access -- for Calculus with Integrated Review

Ch. 11.1 - Verify that p3 satisfies p3(k)(a)=f(k)(a), for k =...Ch. 11.1 - Prob. 2QC Ch. 11.1 - Prob. 3QC Ch. 11.1 - Write out the next two Taylor polynomials p4 and...Ch. 11.1 - Prob. 5QC Ch. 11.1 - Prob. 6QC 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 - Prob. 4E

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Convergence Write the remainder term R n ( x ) for the Taylor series for the following functions centered at the given point a . Then show that lim n → ∞ | R n ( x ) | = 0 , for all x in the given interval. 47. f ( x ) = sinh x + cosh x , a = 0, −∞ < x < ∞

Solution Summary: The author explains the remainder term for the Taylor series for given function centered at a.

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Chapter 11 Solutions

Convergence Write the remainder term R n ( x ) for the Taylor series for the following functions centered at the given point a . Then show that lim n → ∞ | R n ( x ) | = 0 , for all x in the given interval. 47. f ( x ) = sinh x + cosh x , a = 0, −∞ &lt; x &lt; ∞

Solution Summary: The author explains the remainder term for the Taylor series for given function centered at a.

Videos

Want to see the full answer?

Chapter 11 Solutions

Convergence Write the remainder term R n ( x ) for the Taylor series for the following functions centered at the given point a . Then show that lim n → ∞ | R n ( x ) | = 0 , for all x in the given interval. 47. f ( x ) = sinh x + cosh x , a = 0, −∞ < x < ∞