vault backup: 2025-10-03 13:20:24

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arc
2025-10-03 13:20:24 -06:00
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@@ -99,3 +99,7 @@ The above series converges if all three of the following hold true:
- Series decreases: $a_n \ge a_{n+1}$ for all $n$
- $\lim_{n\to\infty} a_n = 0$ as_
This test does not provide any guarantees about divergence i.e if if the test fails, the series does not necessarily diverge.
A sequence a_n converges absolutely if sum `|a_n|` converges
Then if the series converges absolutely then the sum converges.