10x 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+ x² )¯' and then differentiate. (Express numbers in exact form. Use symbolic notation and fractions where needed.) An =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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10x
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+ x² )¯' and then differentiate.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
An =
Transcribed Image Text:10x 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+ x² )¯' and then differentiate. (Express numbers in exact form. Use symbolic notation and fractions where needed.) An =
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