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. A. 1 00 D. 1 n=1 N3/2 В. C. n n=1 and n=1 n- n3 n=1 1 1. Does this series converge or diverge? ? n=1 Vn² +1 n+2 2. Does this series converge or diverge? ? n-3 (n + 1)3 3. Does this series converge or diverge? ? n=2 2+ n3/2 n2 - 1 4. n4 + 2n + 1 Does this series converge or diverge? ? n=1 IM: B. IM:

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.
A.Ž
1
B. 1
1
C.
1
and
D.
n
n=1
n2'
n=1
n3'
n=1
n=1 n3/2
1
1.
Does this series converge or diverge? ?
n=1 Vn² + 1
n+ 2
2.
Does this series converge or diverge? ?
(n+1)3
n=3
1
3.
Does this series converge or diverge? ?
2+ n3/2
n=2
n² – 1
4.
Does this series converge or diverge? ?
na + 2n + 1
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. A.Ž 1 B. 1 1 C. 1 and D. n n=1 n2' n=1 n3' n=1 n=1 n3/2 1 1. Does this series converge or diverge? ? n=1 Vn² + 1 n+ 2 2. Does this series converge or diverge? ? (n+1)3 n=3 1 3. Does this series converge or diverge? ? 2+ n3/2 n=2 n² – 1 4. Does this series converge or diverge? ? na + 2n + 1 n=1
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