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. 1. 2. 3. 4. n=1 ∞ ΟΣ ∞ n=2 ∞ A. n=1 n+2 n=3 (n + 1)³ ∞ n=1 1 +1 1 2+n³/2 B. I C. n²-1 n5 + 2n² + 1 1 Σ. n³' and D. Does this series converge or diverge? ? Does this series converge or diverge? ? Does this series converge or diverge? ? n=1 Does this series converge or diverge? ? 1 n³/2 > <
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. 1. 2. 3. 4. n=1 ∞ ΟΣ ∞ n=2 ∞ A. n=1 n+2 n=3 (n + 1)³ ∞ n=1 1 +1 1 2+n³/2 B. I C. n²-1 n5 + 2n² + 1 1 Σ. n³' and D. Does this series converge or diverge? ? Does this series converge or diverge? ? Does this series converge or diverge? ? n=1 Does this series converge or diverge? ? 1 n³/2 > <
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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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.
1.
2.
3.
4.
n=1
∞
ΟΣ
∞
n=2
∞
A.
n=1
n+2
n=3 (n +1)³
∞
n=1
1
+1
1
2+n³/2
B.
I
C.
n²-1
n5 + 2n² + 1
1
Σ.
n³'
and D.
Does this series converge or diverge? ?
Does this series converge or diverge? ?
Does this series converge or diverge? ?
n=1
Does this series converge or diverge? ?
1
n³/2
>
<
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