Use the power series Σ 1 1 + x 2(-1)^xn, \x| < 1 n = 0 to find a power series for the function, centered at 0. 1 g(x) x9 + 1 g(x) = n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use the power series
1
1 + x
2(-1)"x^, \x| < 1
n = 0
to find a power series for the function, centered at 0.
1
g(x)
x9 + 1
g(x) =
Σ
n = 0
Determine the interval of convergence. (Enter your answer using interval notation.)
Transcribed Image Text:Use the power series 1 1 + x 2(-1)"x^, \x| < 1 n = 0 to find a power series for the function, centered at 0. 1 g(x) x9 + 1 g(x) = Σ n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)
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