8x Find a power series for f(x) = |x| < 1 in the form > an. (x² + 1)² n=1 Hint: First, find the power series for g(x) = (1 + x?) and then differentiate. (Express numbers in exact form. Use symbolic notation and fractions where needed.) an =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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8x
Find a power series for f(x) =
|x| < 1 in the form > an.
(x² + 1)²
n=1
Hint: First, find the power series for g(x) =
(1 + x?) and then differentiate.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
an =
Transcribed Image Text:8x Find a power series for f(x) = |x| < 1 in the form > an. (x² + 1)² n=1 Hint: First, find the power series for g(x) = (1 + x?) and then differentiate. (Express numbers in exact form. Use symbolic notation and fractions where needed.) an =
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