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Given the power series expansion xn In(1 + x) = (-1) "-12" Σ n= n use Taylor's Theorem with Remainder to determine how many terms N of the sum evaluated at x = 1 2 needed to approximate In (2) accurate to within are 1 1000 N = ==

Given the power series expansion xn In(1 + x) = (-1) "-12" Σ n= n use Taylor's Theorem with Remainder to determine how many terms N of the sum evaluated at x = 1 2 needed to approximate In (2) accurate to within are 1 1000 N = ==

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22RE
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Given the power series expansion xn In(1 + x) = (-1) "-12" Σ n= n use Taylor's Theorem with Remainder to determine how many terms N of the sum evaluated at x = 1 2 needed to approximate In (2) accurate to within are 1 1000 N = ==
Transcribed Image Text:Given the power series expansion xn In(1 + x) = (-1) "-12" Σ n= n use Taylor's Theorem with Remainder to determine how many terms N of the sum evaluated at x = 1 2 needed to approximate In (2) accurate to within are 1 1000 N = ==
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