8x Find a power series for f(x) = |x| |x < 1 in the form Σan. (x² + 1)²² n=1 Hint: First, find the power series for g(x) = (1 + x²)¯¹ and then differentiate. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
8x Find a power series for f(x) = |x| |x < 1 in the form Σan. (x² + 1)²² n=1 Hint: First, find the power series for g(x) = (1 + x²)¯¹ and then differentiate. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 4E
Related questions
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.)
An =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6431b385-68cb-483f-9219-6877a56d56cf%2F601ec7d0-a268-438f-8071-4a969ed0410e%2Fs39slqm_processed.png&w=3840&q=75)
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 =
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