vault backup: 2025-10-03 12:16:20
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@@ -97,4 +97,5 @@ $$ \sum_{n=1}^\infty (-1)^{n+1}a_n = a_1 - a_2 + a_3 - a_4 $$
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The above series converges if all three of the following hold true:
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- $a_n > 0$
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- Series decreases: $a_n \ge a_{n+1}$ for all $n$
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- $\lim_{n\to\infty} a_n = 0$ as_
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- $\lim_{n\to\infty} a_n = 0$ as_
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This test does not provide any guarantees about divergence i.e if if the test fails, the series does not necessarily diverge.
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