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 ∞ 1 ∞ A. B. 1 ∞ C. 1 and n ' D. n= n² n=] n3 n= n=1 vn n 1. Does this series converge or diverge? ? n²+n+1 n=1 2. ∞ n=1 1 Does this series converge or diverge? ? n2 +3 3. 4. ∞ n=2 Σ n=2 2n 1 n 1 √n Does this series converge or diverge? ? Does this series converge or diverge? ?
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 ∞ 1 ∞ A. B. 1 ∞ C. 1 and n ' D. n= n² n=] n3 n= n=1 vn n 1. Does this series converge or diverge? ? n²+n+1 n=1 2. ∞ n=1 1 Does this series converge or diverge? ? n2 +3 3. 4. ∞ n=2 Σ n=2 2n 1 n 1 √n Does this series converge or diverge? ? Does this series converge or diverge? ?
Chapter8: Sequences, Series,and Probability
Section8.1: Sequences And Series
Problem 9ECP: For the series i=1510i find (a) the fourth partial sum and (b) the sum. Notice in Example 9(b) that...
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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.
n=]
Στ
∞
'
B. C.
∞
1
∞
'
n2
and
'
D.
n=1
n3
n=1
n=1
n
1.
2.
3.
n=
∞
n=2
n
n² + n + 1
1
n² + 3
2n
1
Does this series converge or diverge? ?
Does this series converge or diverge? ?
Does this series converge or diverge? ?
4.
n
n=2
n
Does this series converge or diverge? ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf1e2248-6601-4b3a-9f67-09df2c7ec8de%2Fc224dac9-9c51-4b90-a90e-abc18dd5e109%2F056j318_processed.png&w=3840&q=75)
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.
n=]
Στ
∞
'
B. C.
∞
1
∞
'
n2
and
'
D.
n=1
n3
n=1
n=1
n
1.
2.
3.
n=
∞
n=2
n
n² + n + 1
1
n² + 3
2n
1
Does this series converge or diverge? ?
Does this series converge or diverge? ?
Does this series converge or diverge? ?
4.
n
n=2
n
Does this series converge or diverge? ?
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