From 47f653ff380c4188dc7f81401f59c914b94bd9b2 Mon Sep 17 00:00:00 2001 From: arc Date: Fri, 3 Oct 2025 13:20:24 -0600 Subject: [PATCH] vault backup: 2025-10-03 13:20:24 --- education/math/MATH1220 (calc II)/Sequences.md | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/education/math/MATH1220 (calc II)/Sequences.md b/education/math/MATH1220 (calc II)/Sequences.md index 380782d..d590641 100644 --- a/education/math/MATH1220 (calc II)/Sequences.md +++ b/education/math/MATH1220 (calc II)/Sequences.md @@ -98,4 +98,8 @@ The above series converges if all three of the following hold true: - $a_n > 0$ - 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. \ No newline at end of file +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. \ No newline at end of file