00 12x Find a power series for f(x) = Ix| < 1 in the form > an. (x2 + 1) 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
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Question
00
12x
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 =
Transcribed Image Text:00 12x 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 =
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