Σ Given that xn with convergence in (-1, 1), find the power series for the function with the given center a. 1 - x n = 0 f(x) = -; a = 3 4 - x 00 Σ f(x) %3D n = 0 Identify the interval of convergence. (Enter your answer using interval notation.)

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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Given that
1
1 − x
 = 
 
 
n = 0
xn
with convergence in
(−1, 1),
find the power series for the function with the given center a.
f(x) = 
1
4 − x
; a = 3
1
Given that
x" with convergence in (-1, 1), find the power series for the function with the given center a.
1 - X
n = 0
f(x)
4
1
; a = 3
- X
f(x) = >
Σ
n = 0
Identify the interval of convergence. (Enter your answer using interval notation.)
Transcribed Image Text:1 Given that x" with convergence in (-1, 1), find the power series for the function with the given center a. 1 - X n = 0 f(x) 4 1 ; a = 3 - X f(x) = > Σ n = 0 Identify the interval of convergence. (Enter your answer using interval notation.)
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