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use the building block 1 1-x differentiating and integrating power series to find a power series representation for the given function and determine the interval of convergence. g(x) = ln(1 x) Σ Σ n=0 x", x < 1, together with the result

use the building block 1 1-x differentiating and integrating power series to find a power series representation for the given function and determine the interval of convergence. g(x) = ln(1 x) Σ Σ n=0 x", x < 1, together with the result

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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use the building block 1 1-x x", |x|< 1, together with the result n=0 differentiating and integrating power series to find a power series representation for the given function and determine the interval of convergence. g(x) = ln(1 x)
Transcribed Image Text:use the building block 1 1-x x", |x|< 1, together with the result n=0 differentiating and integrating power series to find a power series representation for the given function and determine the interval of convergence. g(x) = ln(1 x)
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