From add12e8483a20ee600ea7e11bda70bddad7f15aa Mon Sep 17 00:00:00 2001 From: arc Date: Fri, 3 Oct 2025 12:16:20 -0600 Subject: [PATCH] vault backup: 2025-10-03 12:16:20 --- education/math/MATH1220 (calc II)/Sequences.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/education/math/MATH1220 (calc II)/Sequences.md b/education/math/MATH1220 (calc II)/Sequences.md index ac3a401..380782d 100644 --- a/education/math/MATH1220 (calc II)/Sequences.md +++ b/education/math/MATH1220 (calc II)/Sequences.md @@ -97,4 +97,5 @@ $$ \sum_{n=1}^\infty (-1)^{n+1}a_n = a_1 - a_2 + a_3 - a_4 $$ 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_ \ No newline at end of file +- $\lim_{n\to\infty} a_n = 0$ 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