er series for f(x) = (x2 + |x| < 1 in the form > an. 1)² n=1 find the power series for g(x) = (1 + x²)¯' and then differentia %3D mbers in exact form. Use symbolic notation and fractions where

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 1RE
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Question
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.)
-t(-)-1
-4n
an =
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.) -t(-)-1 -4n an = Incorrect
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