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Use the power series 00 1 E(-1)^x" 1 + x n = 0 to determine a power series, centered at 0, for the function. 1 dx x + 1 f(x) = In(x + 1) = Σ f(x) = n = 0 Identify the interval of convergence. (Enter your answer using interval notation.)

Use the power series 00 1 E(-1)^x" 1 + x n = 0 to determine a power series, centered at 0, for the function. 1 dx x + 1 f(x) = In(x + 1) = Σ f(x) = n = 0 Identify the interval of convergence. (Enter your answer using interval notation.)

Algebra & Trigonometry with Analytic Geometry
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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Use the power series 00 E(-1)^x" 1 + x n = 0 to determine a power series, centered at 0, for the function. 1 dx х+ 1 f(x) = In(x + 1) = f(x) = > n = 0 Identify the interval of convergence. (Enter your answer using interval notation.)
Transcribed Image Text:Use the power series 00 E(-1)^x" 1 + x n = 0 to determine a power series, centered at 0, for the function. 1 dx х+ 1 f(x) = In(x + 1) = f(x) = > n = 0 Identify the interval of convergence. (Enter your answer using interval notation.)
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