Let Un O xn and Un n(x-2)" 3n+1 Which one of the following statements is correct? The series 1 Un converges for every −1 < x < 1, and the radius of convergence of 1 Un is 1. converges for every − ∞ < x < ∞, and the radius of convergence of The series Σ1 Un 1 Un is 3. The series 1 Un converges for every − ∞ < x < ∞, and the radius of convergence of n=1 1 Un is 2. The series Σ1 Un converges for every −1 < x < 1, and the radius of convergence of 1 Un is 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let Un
xn
n²
and Un
100
The series Σn-1 Un
—
n(x-2)"
3n+1
The series 1 un converges for every −1 < x < 1, and the radius of convergence of Σ1 Un is 1.
n=1
n=1
∞, and the radius of convergence of Σn-1 Vn is 3.
The series Σ₁ Un
n=1
Which one of the following statements is correct?
converges for every − ∞ < x
converges for every − ∞ < ï
The series 1 un converges for every −1 < x <
n=1
∞, and the radius of convergence of º=1 Vn is 2.
1, and the radius of convergence of Σ1 Un is 3.
n=1
Transcribed Image Text:Let Un xn n² and Un 100 The series Σn-1 Un — n(x-2)" 3n+1 The series 1 un converges for every −1 < x < 1, and the radius of convergence of Σ1 Un is 1. n=1 n=1 ∞, and the radius of convergence of Σn-1 Vn is 3. The series Σ₁ Un n=1 Which one of the following statements is correct? converges for every − ∞ < x converges for every − ∞ < ï The series 1 un converges for every −1 < x < n=1 ∞, and the radius of convergence of º=1 Vn is 2. 1, and the radius of convergence of Σ1 Un is 3. n=1
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