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Use the power series 1 1 + x Σ (−1)²x”, |×| < 1 x n=0 to find a power series for the function, centered at 0. f(x) = In(x + 1) f(x) = Σ n=0 Determine the interval of convergence. (Enter your answer using interval notation.)

Use the power series 1 1 + x Σ (−1)²x”, |×| < 1 x n=0 to find a power series for the function, centered at 0. f(x) = In(x + 1) f(x) = Σ n=0 Determine the interval of convergence. (Enter your answer using interval notation.)

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 power series 00 1 1 + x = [ (-1)^x^², ³xl < 1 n=0 to find a power series for the function, centered at 0. f(x) = In(x4 + 1) f(x) = n=0 X Determine the interval of convergence. (Enter your answer using interval notation.)
Transcribed Image Text:Use the power series 00 1 1 + x = [ (-1)^x^², ³xl < 1 n=0 to find a power series for the function, centered at 0. f(x) = In(x4 + 1) f(x) = n=0 X Determine the interval of convergence. (Enter your answer using interval notation.)
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