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Properties Of Series With Positive Terms

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Which of the following statements about series with positive terms is false?

A

For a series with positive terms, even if the terms decrease, convergence is not guaranteed unless the decrease is sufficiently rapid.

B

Convergence tests like the Integral Test and the Comparison Test can be applied to series with positive terms.

C

If the terms of a series with positive terms are eventually increasing, then the series converges by the Integral Test.

D

A series with positive terms that do not approach zero must diverge.

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