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Use the power series h(x) = 1 1 + x 00 Ë n = 0 to find a power series for the function, centered at 0. -2 x² 1 h(x) = = n = 0 (-1)^x^, |x| < 1 = 1 1 + 1 + x 1 - X X Determine the interval of convergence. (Enter your answer using interval notation.) (−1,1)

Use the power series h(x) = 1 1 + x 00 Ë n = 0 to find a power series for the function, centered at 0. -2 x² 1 h(x) = = n = 0 (-1)^x^, |x| < 1 = 1 1 + 1 + x 1 - X 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 to find a power series for the function, centered at 0. -2 x² 1 h(x) = ∞ 1 ₁ + x = (-1)"x", |×| < 1 1 n = 0 h(x) n = 0 = = 1 1 + x + 1 1 - X Determine the interval of convergence. (Enter your answer using interval notation.) |(−1,1)
Transcribed Image Text:Use the power series to find a power series for the function, centered at 0. -2 x² 1 h(x) = ∞ 1 ₁ + x = (-1)"x", |×| < 1 1 n = 0 h(x) n = 0 = = 1 1 + x + 1 1 - X Determine the interval of convergence. (Enter your answer using interval notation.) |(−1,1)
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