From e22957346d972cc37d4b1b7432e8db9342188098 Mon Sep 17 00:00:00 2001 From: arc Date: Fri, 26 Sep 2025 13:13:01 -0600 Subject: [PATCH] vault backup: 2025-09-26 13:13:01 --- .obsidian/types.json | 27 ------------------- .../math/MATH1220 (calc II)/Sequences.md | 6 ++++- 2 files changed, 5 insertions(+), 28 deletions(-) diff --git a/.obsidian/types.json b/.obsidian/types.json index 92b1fae..e69de29 100644 --- a/.obsidian/types.json +++ b/.obsidian/types.json @@ -1,27 +0,0 @@ -{ - "types": { - "aliases": "aliases", - "cssclasses": "multitext", - "tags": "tags", - "excalidraw-plugin": "text", - "excalidraw-export-transparent": "checkbox", - "excalidraw-mask": "checkbox", - "excalidraw-export-dark": "checkbox", - "excalidraw-export-padding": "number", - "excalidraw-export-pngscale": "number", - "excalidraw-export-embed-scene": "checkbox", - "excalidraw-link-prefix": "text", - "excalidraw-url-prefix": "text", - "excalidraw-link-brackets": "checkbox", - "excalidraw-onload-script": "text", - "excalidraw-linkbutton-opacity": "number", - "excalidraw-default-mode": "text", - "excalidraw-font": "text", - "excalidraw-font-color": "text", - "excalidraw-border-color": "text", - "excalidraw-css": "text", - "excalidraw-autoexport": "text", - "excalidraw-embeddable-theme": "text", - "excalidraw-open-md": "checkbox" - } -} \ No newline at end of file diff --git a/education/math/MATH1220 (calc II)/Sequences.md b/education/math/MATH1220 (calc II)/Sequences.md index 69f6f18..0b4a6f8 100644 --- a/education/math/MATH1220 (calc II)/Sequences.md +++ b/education/math/MATH1220 (calc II)/Sequences.md @@ -47,4 +47,8 @@ Given the above series, we can define the following: - $S_1 = a_1 = \sum_{i=1}^\infty a_i$ - $S_2 = a_1 + a_2 = \sum_{i=1}^2 a_i$ - $S_n = a_1 + a_2 + ... = \sum_{i=1}^n a_i$ -- \ No newline at end of file +- If the limit of $S_n$ as $S_n$ approaches $\infty$ converges to $L$, then we write: + $$\sum_{n=1}^\infty a_n = L$$ +and say that the sum converges to $L$. + +## Examples