Match each of the power series below with the correct statement about it. Series A: +1 n=0 Series B: n -(1– 3)". n+1' 1. The interval of convergence of the series is (2,4]. Series C: 2. The interval of convergence for the series is (-6,14). n! 100 3. The interval of convergence of the series is [2,4). 4. The series converges only for x=3. Series D: 5. The series converges only for x=0. +1 (z – 4)". 6. The interval of convergenc of the series is (0,2e). 10" Series E: (z– e)". Series F: (r – 3)". n=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Match each of the power series below with the correct statement about it.
Series A:
(r – 3)".
n+1
Series B:
00
-(r – 3)".
n+1
1. The interval of convergence of the series is (2,4).
Series C:
2. The interval of convergence for the series is (-6,14).
100
3. The interval of convergence of the series is [2,4).
n=0
4. The series converges only for x=3.
Series D:
5. The series converges only for x=0.
n+1
5(r- 4)".
6. The interval of convergenc of the series is (0,2e).
10"
n=0
Series E:
Inn
(r– e)".
n=1
Series F:
Er– 3)".
n=1
Transcribed Image Text:Match each of the power series below with the correct statement about it. Series A: (r – 3)". n+1 Series B: 00 -(r – 3)". n+1 1. The interval of convergence of the series is (2,4). Series C: 2. The interval of convergence for the series is (-6,14). 100 3. The interval of convergence of the series is [2,4). n=0 4. The series converges only for x=3. Series D: 5. The series converges only for x=0. n+1 5(r- 4)". 6. The interval of convergenc of the series is (0,2e). 10" n=0 Series E: Inn (r– e)". n=1 Series F: Er– 3)". n=1
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