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. DER n=1 n=2 A. n=1 n=1 ∞ n+2 Σ n=3 (n+1) ³ 1 n²+1 1 2+n³/2 B. ∞ n² n²-1 n5 + 2n² + 1 1 •£-/ n³ n=1 C. 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 < < <

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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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.
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
>
<
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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