Use the power series ΤΣ E(-1)"x" to determine a power series, centered at 0, for the function. h(x) 4(x2 – 1) 8(1 + x) 8(1 – x) 00 h(x) = n = 0 Identify the interval of convergence. (Enter your answer using interval notation.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use the power series
ΤΣ
E(-1)"x"
to determine a power series, centered at 0, for the function.
h(x)
4(x2 – 1)
8(1 + x)
8(1 – x)
00
h(x) =
n = 0
Identify the interval of convergence. (Enter your answer using interval notation.)
Transcribed Image Text:Use the power series ΤΣ E(-1)"x" to determine a power series, centered at 0, for the function. h(x) 4(x2 – 1) 8(1 + x) 8(1 – x) 00 h(x) = n = 0 Identify the interval of convergence. (Enter your answer using interval notation.)
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