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Use the power series g(x)= = ∞ 1 1 + x to find a power series for the function, centered at 0. 1 x + 1 g(x) n = 0 ∞ = = • (-1)^x^, |x| < 1 n = 0 Determine the interval of convergence. (Enter your answer using interval notation.) (-1,1)

Use the power series g(x)= = ∞ 1 1 + x to find a power series for the function, centered at 0. 1 x + 1 g(x) n = 0 ∞ = = • (-1)^x^, |x| < 1 n = 0 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 g(x) = 1 1 + x ∞ Σ n = 0 to find a power series for the function, centered at 0. 1 x + 1 = g(x) Σ+-15x", Σ(-1)^x^, |x|<1 n = 0 Determine the interval of convergence. (Enter your answer using interval notation.) (-1,1)
Transcribed Image Text:Use the power series g(x) = 1 1 + x ∞ Σ n = 0 to find a power series for the function, centered at 0. 1 x + 1 = g(x) Σ+-15x", Σ(-1)^x^, |x|<1 n = 0 Determine the interval of convergence. (Enter your answer using interval notation.) (-1,1)
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