Find a power series for f(x) = бх |x| < 1 in the form Ea.. (x² + 1)² Hìnt: First, find the power series for g(x) = (1 + x²)¯' and then differentiate. n=1 (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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6x
Find a power series for f(x) =
|x| < 1 in the form
an.
2
(x2 + 1)
*
n=1
Hint: First, find the power series for g(x) = (1+ x?) and then differentiate.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
an =
Transcribed Image Text:6x Find a power series for f(x) = |x| < 1 in the form an. 2 (x2 + 1) * n=1 Hint: First, find the power series for g(x) = (1+ x?) and then differentiate. (Express numbers in exact form. Use symbolic notation and fractions where needed.) an =
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