Now instead integrate the power series for 1/1-x to find a power series representation for ln(1-x0. What is the interval of convergence for this power series? Then use it to determine the exact value of ∞Σ n=0 1/(n+1)2^(n+1).

Now instead integrate the power series for 1/1-x to find a power series representation for ln(1-x0. What is the interval of convergence for this power series? Then use it to determine the exact value of ∞Σ n=0 1/(n+1)2^(n+1).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 49E

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