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#### Alexmahone

##### Active member

- Jan 26, 2012

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Alternating series test: If $\{a_n\}$ is positive and strictly decreasing, and $\lim a_n=0$, then $\sum(-1)^n a_n$ converges.

Is the alternating series test still valid if "strictly decreasing" is omitted? Give a proof or counterexample.

Is the alternating series test still valid if "strictly decreasing" is omitted? Give a proof or counterexample.

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