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Use the power series 1 1 + x f(x) = n = 0 to find a power series for the function, centered at 0. f(x) = In(x + 1) 80 n = 0 ∞ (−1)"x", |x| < 1 X Determine the interval of convergence. (Enter your answer using interval notation.) (-1,1)

Use the power series 1 1 + x f(x) = n = 0 to find a power series for the function, centered at 0. f(x) = In(x + 1) 80 n = 0 ∞ (−1)"x", |x| < 1 X Determine the interval of convergence. (Enter your answer using interval notation.) (-1,1)

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 1 1 + x f(x) = n = 0 to find a power series for the function, centered at 0. f(x) = In(x + 1) 80 ∞ n = 0 (−1)"x", |x| < 1 Determine the interval of convergence. (Enter your answer using interval notation.) (-1,1)
Transcribed Image Text:Use the power series 1 1 + x f(x) = n = 0 to find a power series for the function, centered at 0. f(x) = In(x + 1) 80 ∞ n = 0 (−1)"x", |x| < 1 Determine the interval of convergence. (Enter your answer using interval notation.) (-1,1)
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