Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Use the Ratio Test to determine the convergence or divergence of the series  . a. |  | b. |  |
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2.
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Use the Ratio Test to determine the convergence or divergence of the
series.
 a. | diverges | b. | Ratio Test inconclusive | c. | converges |
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3.
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Use the Ratio Test to determine the convergence or divergence of the
series.
 a. | converges | b. | diverges | c. |  |
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4.
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Use the Ratio Test to determine the convergence or divergence of the
series.
 a. | diverges | b. | converges | c. | Ratio Test
inconclusive |
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5.
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Use the Ratio Test to determine the convergence or divergence of the series
 . a. |  | b. |  |
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6.
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Use the Root Test to determine the convergence or divergence of the series  . a. |  | b. |  |
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7.
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Use the Root Test to determine the convergence or divergence of the
series.
 a. | converges | b. | diverges | c. | Root Test
inconclusive |
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8.
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Use the Root Test to determine the convergence or divergence of the
series.
 a. | converges | b. | diverges | c. | Root Test
inconclusive |
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9.
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Use the Root Test to determine the convergence or divergence of the
series.
 a. | Root Test inconclusive | b. | converges | c. | diverges |
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10.
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Use the Root Test to determine the convergence or divergence of the series  .
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11.
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Determine the convergence or divergence of the series 
using any appropriate test. a. |  | b. |  |
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12.
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Identify the most appropriate test to be used to determine whether the series
 converges or diverges.
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13.
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Determine the convergence or divergence of the series using any appropriate test
from this chapter. Identify the test used.
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14.
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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 |
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15.
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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 |
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16.
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Determine the convergence or divergence of the series 
using any appropriate test. a. |  | b. |  |
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17.
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Identify the most appropriate test to be used to determine whether the series
 converges or diverges.
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18.
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Determine the convergence or divergence of the series 
using any appropriate test. a. |  | b. |  |
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19.
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Identify the most appropriate test to be used to determine whether the series
 converges or diverges.
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20.
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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 |
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21.
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Find the values of x for which the series 
converges.
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22.
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Find the values of x for which the series 
converges.
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