Larson_Calculus_10e ch09sec06
MULTIPLE CHOICE
1. Use the Ratio Test to determine the convergence or divergence of the series .
a.
b.
2. Use the Ratio Test to determine the convergence or divergence of the series.
a.
diverges
b.
Ratio Test inconclusive
c.
converges
3. Use the Ratio Test to determine the convergence or divergence of the series.
a.
converges
b.
diverges
c.
4. Use the Ratio Test to determine the convergence or divergence of the series.
a.
diverges
b.
converges
c.
Ratio Test inconclusive
5. Use the Ratio Test to determine the convergence or divergence of the series .
a.
b.
6. Use the Root Test to determine the convergence or divergence of the series .
a.
b.
7. Use the Root Test to determine the convergence or divergence of the series.
a.
converges
b.
diverges
c.
Root Test inconclusive
8. Use the Root Test to determine the convergence or divergence of the series.
a.
converges
b.
diverges
c.
Root Test inconclusive
9. Use the Root Test to determine the convergence or divergence of the series.
a.
Root Test inconclusive
b.
converges
c.
diverges
10. Use the Root Test to determine the convergence or divergence of the series .
a.
converges
b.
diverges
11. Determine the convergence or divergence of the series using any appropriate test.
a.
b.
12. Identify the most appropriate test to be used to determine whether the series
converges or diverges.
a.
b.
c.
d.
e.
13. Determine the convergence or divergence of the series using any appropriate test from this chapter.
Identify the test used.
a.
b.
c.
d.
e.
14. Determine the convergence or divergence of the series using any appropriate test from this chapter.
Identify the test used.
a.
converges; Ratio Test
b.
both civerges; p-series and civerges; Integral Test
c.
civerges; p-series
d.
civerges; Integral Test
e.
converges; p-series
15. Determine the convergence or divergence of the series using any appropriate test from this chapter.
Identify the test used.
a.
both diverges; Ratio Test and diverges; Theorem 9.9 (nth Term Test for Divergence)
b.
converges; Integral Test
c.
diverges; Theorem 9.9 (nth Term Test for Divergence)
d.
converges; p-series
e.
diverges; Ratio Test
16. Determine the convergence or divergence of the series using any appropriate test.
a.
b.
17. Identify the most appropriate test to be used to determine whether the series converges
or diverges.
a.
b.
c.
d.
e.
18. Determine the convergence or divergence of the series using any appropriate test.
a.
b.
19. Identify the most appropriate test to be used to determine whether the series converges or
diverges.
a.
b.
c.
d.
e.
20. The terms of a series are defined recursively. Determine the convergence or divergence of the
series. Explain your reasoning.
a.
converges; Ratio Test
b.
diverges; Ratio Test
c.
diverges; Integral Test
d.
converges; Alternating Series Test
e.
converges; Root Test
21. Find the values of x for which the series converges.
a.
b.
c.
d.
e.
22. Find the values of x for which the series converges.
a.
b.
c.
d.
e.