From 58258dca14b5e9c2ef345ed738d1dd3c0bef4508 Mon Sep 17 00:00:00 2001 From: arc Date: Mon, 13 Oct 2025 15:02:06 -0600 Subject: [PATCH] vault backup: 2025-10-13 15:02:06 --- 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 6138aed..307eff9 100644 --- a/education/math/MATH1220 (calc II)/Sequences.md +++ b/education/math/MATH1220 (calc II)/Sequences.md @@ -126,4 +126,8 @@ The error for the first $n$ terms of a sequence is less than or equal to the $(n # Power Series A power series centered at $c$ is a series of the form: $$ \sum_{n=0}^\infty a_n(x-c)^n = a_0 + a_1(x-c) + a_2(x-c)^2 + \cdots$$ -where $x$ is a variable. \ No newline at end of file +where $x$ is a variable. + +$\sum x^n$ converges when $|x| < 1$ and diverges when $|x| \ge 1$. + +The above series is a series of the \ No newline at end of file