From e3db5505f7d0f1cefc1aacc4fd3945c34757c60c Mon Sep 17 00:00:00 2001
From: arc <zleyyij@users.noreply.github.com>
Date: Thu, 6 Mar 2025 09:54:22 -0700
Subject: [PATCH] vault backup: 2025-03-06 09:54:22

---
 .obsidian/plugins/obsidian-git/data.json   | 27 ++++++++++++++++++++++
 education/math/MATH1210 (calc 1)/Limits.md | 11 ++++++++-
 2 files changed, 37 insertions(+), 1 deletion(-)

diff --git a/.obsidian/plugins/obsidian-git/data.json b/.obsidian/plugins/obsidian-git/data.json
index e69de29..bef4c6e 100644
--- a/.obsidian/plugins/obsidian-git/data.json
+++ b/.obsidian/plugins/obsidian-git/data.json
@@ -0,0 +1,27 @@
+{
+  "commitMessage": "vault backup: {{date}}",
+  "autoCommitMessage": "vault backup: {{date}}",
+  "commitDateFormat": "YYYY-MM-DD HH:mm:ss",
+  "autoSaveInterval": 5,
+  "autoPushInterval": 0,
+  "autoPullInterval": 5,
+  "autoPullOnBoot": true,
+  "disablePush": false,
+  "pullBeforePush": true,
+  "disablePopups": false,
+  "listChangedFilesInMessageBody": false,
+  "showStatusBar": true,
+  "updateSubmodules": false,
+  "syncMethod": "merge",
+  "customMessageOnAutoBackup": false,
+  "autoBackupAfterFileChange": false,
+  "treeStructure": false,
+  "refreshSourceControl": true,
+  "basePath": "",
+  "differentIntervalCommitAndPush": false,
+  "changedFilesInStatusBar": false,
+  "showedMobileNotice": true,
+  "refreshSourceControlTimer": 7000,
+  "showBranchStatusBar": true,
+  "setLastSaveToLastCommit": false
+}
\ No newline at end of file
diff --git a/education/math/MATH1210 (calc 1)/Limits.md b/education/math/MATH1210 (calc 1)/Limits.md
index 1cd71b3..0d60a3d 100644
--- a/education/math/MATH1210 (calc 1)/Limits.md	
+++ b/education/math/MATH1210 (calc 1)/Limits.md	
@@ -98,4 +98,13 @@ To evaluate an indeterminate product ($0 * \infty$), use algebra to convert the
 
 $$ \lim_{x \to 0^+} x\ln(x) = \lim_{x \to 0^+}\dfrac{\ln x}{\dfrac{1}{x}} = \lim_{x \to 0^+} \dfrac{1/x}{-1/(x^2)} = \lim_{x \to 0^+} -x = 0 $$
 # Indeterminate form $(\infty - \infty)$:
-If the $\lim_{x \to a}f(x) = \infty$  and $\lim_{x \to a} (g(x)) = \infty$ , then $\lim_{x \to a}(f(x) - g(x))$ may or may not exist.
\ No newline at end of file
+If the $\lim_{x \to a}f(x) = \infty$  and $\lim_{x \to a} (g(x)) = \infty$ , then $\lim_{x \to a}(f(x) - g(x))$ may or may not exist.
+
+# Indeterminate Powers
+When considering the $\lim_{x \to a} f(x)^{g(x)}$, the following are indeterminate:
+- $0^0$
+- $\infty^0$
+- $1^\infty$ 
+
+1. $lim_{x \to 0^+} x
+