Find the series' interval of convergence and, within this interval, the sum of the series as a function of x. (x-2)2n 25 n=0 The interval of convergence is (Simplify your answers.)

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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Find the series' interval of convergence and, within this interval, the sum of the series as a function of x.
00
(x-2)2n
Σ
25h
n= 0
The interval of convergence is <x < .
(Simplify your answers.)
<X<
00
The sum of the series is
(x- 2)²n
25h
n=0
Transcribed Image Text:Find the series' interval of convergence and, within this interval, the sum of the series as a function of x. 00 (x-2)2n Σ 25h n= 0 The interval of convergence is <x < . (Simplify your answers.) <X< 00 The sum of the series is (x- 2)²n 25h n=0
Find the series' interval of convergence and, within this interval, the sum of the series as a function of x.
00
(x- 1)2n
Σ
25"
n= 0
The interval of convergence is -4 <x< 6.
(Simplify your answers.)
00
The sum of the series is >
(x - 1)2n
25
25h
24 + 2x - x2
n= 0
Transcribed Image Text:Find the series' interval of convergence and, within this interval, the sum of the series as a function of x. 00 (x- 1)2n Σ 25" n= 0 The interval of convergence is -4 <x< 6. (Simplify your answers.) 00 The sum of the series is > (x - 1)2n 25 25h 24 + 2x - x2 n= 0
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