From d8e7b06c2c40b1ae3e80b202ef9df14f924a4f85 Mon Sep 17 00:00:00 2001
From: arc <zleyyij@users.noreply.github.com>
Date: Tue, 21 Jan 2025 12:14:38 -0700
Subject: [PATCH] vault backup: 2025-01-21 12:14:38

---
 education/math/MATH1210 (calc 1)/Limits.md | 20 ++++++++++++++++++++
 1 file changed, 20 insertions(+)

diff --git a/education/math/MATH1210 (calc 1)/Limits.md b/education/math/MATH1210 (calc 1)/Limits.md
index ed07dd7..ad0cc5b 100644
--- a/education/math/MATH1210 (calc 1)/Limits.md	
+++ b/education/math/MATH1210 (calc 1)/Limits.md	
@@ -26,6 +26,26 @@ Formally, a function $f$ is continuous at a point $a$ if:
 - $\lim_{x \to a} f(x)$  exists
 - $\lim_{x \to a} = f(a)$
 
+- A function is continuous on the open interval $(a, b)$ if it is continuous at all points between $a$ and $b$
+- A function is continuous on the closed interval $[a, b]$ if it is continuous at all points between $a$ and $b$
+
+# Elementary Functions
+An elementary function is any function that is defined using:
+- Polynomial functions
+- Rational functions
+- Root functions
+- Trig functions
+- Inverse trig functions
+- Exponential functions
+- Logarithmic functions
+- Operations of:
+	- Addition
+	- Subtraction
+	- Multiplication
+	- Division
+	- Composition
+
+A piece-wise function is *not*  considered an elementary function
 # Definitions
 
 | Term                  | Definition                                                                    |