8х Find a power series for f(x) : |x| < 1 in the form > an. %D (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.) -1 an = 4n Incorrect

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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8x
Find a power series for f(x) =
|x| < 1 in the form >,
an.
(x² + 1)´
n=1
-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 =
4n -x
Incorrect
Transcribed Image Text:8x Find a power series for f(x) = |x| < 1 in the form >, an. (x² + 1)´ n=1 -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 = 4n -x Incorrect
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