vault backup: 2025-03-06 09:54:22
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.obsidian/plugins/obsidian-git/data.json
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27
.obsidian/plugins/obsidian-git/data.json
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{
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"commitMessage": "vault backup: {{date}}",
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"autoCommitMessage": "vault backup: {{date}}",
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"commitDateFormat": "YYYY-MM-DD HH:mm:ss",
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"autoSaveInterval": 5,
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"autoPushInterval": 0,
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"autoPullInterval": 5,
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"autoPullOnBoot": true,
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"disablePush": false,
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"pullBeforePush": true,
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"disablePopups": false,
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"listChangedFilesInMessageBody": false,
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"showStatusBar": true,
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"updateSubmodules": false,
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"syncMethod": "merge",
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"customMessageOnAutoBackup": false,
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"autoBackupAfterFileChange": false,
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"treeStructure": false,
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"refreshSourceControl": true,
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"basePath": "",
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"differentIntervalCommitAndPush": false,
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"changedFilesInStatusBar": false,
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"showedMobileNotice": true,
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"refreshSourceControlTimer": 7000,
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"showBranchStatusBar": true,
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"setLastSaveToLastCommit": false
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}
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@ -98,4 +98,13 @@ To evaluate an indeterminate product ($0 * \infty$), use algebra to convert the
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$$ \lim_{x \to 0^+} x\ln(x) = \lim_{x \to 0^+}\dfrac{\ln x}{\dfrac{1}{x}} = \lim_{x \to 0^+} \dfrac{1/x}{-1/(x^2)} = \lim_{x \to 0^+} -x = 0 $$
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# Indeterminate form $(\infty - \infty)$:
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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.
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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.
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# Indeterminate Powers
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When considering the $\lim_{x \to a} f(x)^{g(x)}$, the following are indeterminate:
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- $0^0$
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- $\infty^0$
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- $1^\infty$
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1. $lim_{x \to 0^+} x
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