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16 questions
Which of the following tests would be the best choice to prove the series is divergent?
nth term test
integral test
direct comparison test
limit comparison test
What is the sum of the series?
-4/3
2/3
9/2
the series diverges
Which of the following is true about the given series?
it is a divergent p-series
it is a convergent p-series
it is a divergent geometric series
it is a convergent geometric series
Which test can NOT be used to prove that the series diverges?
limit comparison test
direct comparison test
p-series
integral test
Select the correct comparison series you would use for the given series.
Σ n1
Σ n21
Σ (21)n
Σ (2)n
Select the correct limit if you used the limit comparison test to prove the series converges.
n→∞lim n3+2n4=∞
n→∞lim n3+2n=0
n→∞lim n3+2n3=1
The series diverges
Which of the following is true about the alternating series?
It is conditionally convergent
It is absolutely convergent
It is divergent
What is the result of the limit when using the ratio test on the series?
0
1/2
1
2
What test would be used, and what is the result of the test?
limit comparison, diverge
alternating series, conditionally converge
geometric series, diverge
p-series, converge
What would be the test used, and what is the result of the test?
alternating series, diverge
alternating series, conditionally converge
ratio test, converge
geometric series, diverge
What would be the test used, and what is the result of the test?
integral test, converge
p-series, diverge
nth term, diverge
alternating series, absolutely converge
What would be the test used, and what is the result of the test?
alternating series, absolutely converge
nth term test, diverge
alternating series, diverge
integral test, converge
What test would be used, and what is the result of the test?
alternating, diverge
geometric, converge
alternating, conditionally converge
geometric, diverge
What test would be used, and what is the result of the test?
ratio, diverge
ratio, converge
limit comparison, converge
limit comparison, diverge
What test would be used, and what is the result of the test? There may be more than one correct answer.
direct comparison, converge
limit comparison, diverge
limit comparison, converge
direct comparison, diverge
What test would be used, and what is the result of the test? There may be more than one correct answer.
limit comparison, diverge
limit comparison, converge
direct comparison, converge
nth term, diverge
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