i. ii. g(x) = Use the power series expansion of f(x) = F for x < 1 to find a power series expansion for 1 (1- x)² Use the result in the previous item to find the sum of the series Σ' n+1 4n

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Related questions
Question
i.
ii.
g(x)
=
Use the power series expansion of f(x) =
1
for x < 1 to find a power series expansion for
1-x
1
(1
x)2.
∞
Use the result in the previous item to find the sum of the series
n+1
4n
n=1
Transcribed Image Text:i. ii. g(x) = Use the power series expansion of f(x) = 1 for x < 1 to find a power series expansion for 1-x 1 (1 x)2. ∞ Use the result in the previous item to find the sum of the series n+1 4n n=1
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