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Example Questions
Example Question #171 : Series In Calculus
If and
, and it may be said that
converges, what may be said about
?
Possible Answers:
Converges by the test for convergence of geometric series.
Diverges by the ratio test.
Diverges by the comparison test.
Converges by the comparison test.
Converges by the ratio test.
Correct answer:
Converges by the comparison test.
Explanation:
Given two series,
and
where
converges,
the Comparison Test states that the second series
must also converge, if and only if, it is smaller than the first.
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