Match the following series with the series below in which you can compare using the Limit Comparison Test. Then determine whether the series converge or diverge. 00 A. E 1 B.) D. 1 1=1 n3/2 c. 1 and n2' n=1 n=1 n3' n=1 1 1. Does this series converge or diverge? ? n=1 Vn² + 1 2. n + 2 Does this series converge or diverge? ? n=3 (n + 1)2 1 3. Does this series converge or diverge? ? 2 + n3/2 n=2 n2 – 1 4. Does this series converge or diverge? ? n4 + 2n + 1 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 the following series with the series below in which you can compare using the Limit Comparison Test. Then determine whether the series converge
or diverge.
00
1
A. E
1
D. 1
1=1 n3/2
B.
c. 1
and
n2'
n=1
n=1
n3'
n=1
1.DŽ
1
Does this series converge or diverge? ?
n=1 Vn² + 1
2.
n + 2
Does this series converge or diverge? ?
n=3 (n + 1)2
1
3.
Does this series converge or diverge? ?
2+ n3/2
n=2
n2 – 1
n4 + 2n + 1
4.
Does this series converge or diverge? ?
n=1
Transcribed Image Text:Match the following series with the series below in which you can compare using the Limit Comparison Test. Then determine whether the series converge or diverge. 00 1 A. E 1 D. 1 1=1 n3/2 B. c. 1 and n2' n=1 n=1 n3' n=1 1.DŽ 1 Does this series converge or diverge? ? n=1 Vn² + 1 2. n + 2 Does this series converge or diverge? ? n=3 (n + 1)2 1 3. Does this series converge or diverge? ? 2+ n3/2 n=2 n2 – 1 n4 + 2n + 1 4. Does this series converge or diverge? ? n=1
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