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