5) Use the power series (1-x)" E ", for Ixl<1, to find a (n+1)x' n=0 power series for fox) = find the interval of convergence. (x-1)3 and

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Use the power series to find a power series for the function (picture attached)

n=|
5) Use the power series
(1-x)>
E (ner)X", for Ixl<!, to find a
for Ix/<1, to find a
n=0
power series for fx) =
and
(x-1)3
find the interval of convergence.
Transcribed Image Text:n=| 5) Use the power series (1-x)> E (ner)X", for Ixl<!, to find a for Ix/<1, to find a n=0 power series for fx) = and (x-1)3 find the interval of convergence.
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