Explanation Result used: The Taylor series for ln ( 1 + x ) centered at 0 is ln ( 1 + x ) = x − x 2 2 + x 3 3 − x 4 4 + ⋯ + ( − 1 ) k + 1 x k k + ⋯ Calculation: The first four nonzero terms of the Taylor series for ln ( 1 + 2 x ) centered at 0 is computed as follows, Substitute 2 x for x in ln ( 1 + x ) , ln ( 1 + 2 x ) = 2 x − ( 2 x )</

Single Variable Calculus: Early Transcendentals & Student Solutions Manual, Single Variable for Calculus: Early Transcendentals & MyLab Math -- Valuepack Access Card Package

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ISBN: 9780133941760

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

Publisher: PEARSON

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Chapter 9.3, Problem 32E

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To find: The first four nonzero terms of the Taylor series for ln(1+2x) centered at 0.

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Chapter 9.3, Problem 31E

Chapter 9.3, Problem 33E

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Chapter 9 Solutions

Single Variable Calculus: Early Transcendentals & Student Solutions Manual, Single Variable for Calculus: Early Transcendentals & MyLab Math -- Valuepack Access Card Package

Ch. 9.1 - Prob. 1QC Ch. 9.1 - Prob. 2QC Ch. 9.1 - Prob. 3QC Ch. 9.1 - Prob. 4QC Ch. 9.1 - Prob. 5QC Ch. 9.1 - In Example 7, find an approximate upper bound for...Ch. 9.1 - Suppose you use a second-order Taylor polynomial...Ch. 9.1 - Does the accuracy of an approximation given by a...Ch. 9.1 - The first three Taylor polynomials for f(x)=1+x...Ch. 9.1 - Prob. 4E

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The first four nonzero terms of the Taylor series for ln ( 1 + 2 x ) centered at 0.

Solution Summary: The author calculates the first four nonzero terms of the Taylor series for mathrmln(1+2x) centered at 0.

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To find: The first four nonzero terms of the Taylor series for ln(1+2x) centered at 0.

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Chapter 9 Solutions