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524 Chapter 9: Infinite Series
9.3 The Integral Test and p-Series
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Use the Integral Test to determine the convergence or divergence of the series.
a. diverges
b. Integral Test inconclusive
c. converges
____ 2. Use the Integral Test to determine the convergence or divergence of the series.
a. converges
b. diverges
c. Integral Test inconclusive
____ 3. True or false: The series converges.
a. false
b. true
____ 4. True or false: The series converges.
a. true
b. false
____ 5. True or false: The series converges.
a. false
b. true
9.3 The Integral Test and p-Series 525
____ 6. Use the Integral Test to determine the convergence or divergence of the series.
a. diverges
b. Integral Test inconclusive
c. converges
____ 7. Use the Integral Test to determine the convergence or divergence of the series.
a. diverges
b. converges
c. Integral Test inconclusive
____ 8. True or false: The series converges.
a. true
b. false
____ 9. True or false: The series diverges.
a. false
b. true
____ 10. Use Theorem 9.11 to determine the convergence or divergence of the series.
a. converges
b. diverges
c. Theorem 9.11 inconclusive
526 Chapter 9: Infinite Series
____ 11. Use Theorem 9.11 to determine the convergence or divergence of the series.
a. diverges
b. converges
c. Theorem 9.11 inconclusive
____ 12. Use Theorem 9.11 to determine the convergence or divergence of the series.
a. converges
b. diverges
c. Theorem 9.11 inconclusive
____ 13. Sketch the graph of the sequence of partial sum of the series .
a. d.
9.3 The Integral Test and p-Series 527
b. k e.
c.
____ 14. Find the positive values of for which the series converges.
a. converges for
b. diverges only at
c. converges for
d. converges for
e. converges for
____ 15. Find the positive values of for which the series converges.
a. The series converges for .
b. The series converges for .
c. The series diverges for all positive values of .
d. The series converges for .
e. The series converges for .
528 Chapter 9: Infinite Series
____ 16. Determine the convergence or divergence of the series.
a. converges
b. diverges
c. cannot be determined
____ 17. Determine the convergence or divergence of the series.
a. converges
b. diverges
c. cannot be determined
____ 18. Determine the convergence or divergence of the series.
a. converges
b. diverges
c. cannot be determined
9.3 The Integral Test and p-Series 529
9.3 The Integral Test and p-Series
Answer Section
