diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 00292e1..79b9d19 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -42,9 +42,21 @@ "source": false } } + }, + { + "id": "8f9834f9b39c8cbc", + "type": "leaf", + "state": { + "type": "markdown", + "state": { + "file": "AMiAL/Wykłady/1 SEM/20221125083233.md", + "mode": "source", + "source": false + } + } } ], - "currentTab": 2 + "currentTab": 3 } ], "direction": "vertical" @@ -110,7 +122,7 @@ "state": { "type": "backlink", "state": { - "file": "AMiAL/Wykłady/1 SEM/20221202082251.md", + "file": "AMiAL/Wykłady/1 SEM/20221125083233.md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -127,7 +139,7 @@ "state": { "type": "outgoing-link", "state": { - "file": "AMiAL/Wykłady/1 SEM/20221202082251.md", + "file": "AMiAL/Wykłady/1 SEM/20221125083233.md", "linksCollapsed": false, "unlinkedCollapsed": true } @@ -150,7 +162,7 @@ "state": { "type": "outline", "state": { - "file": "AMiAL/Wykłady/1 SEM/20221202082251.md" + "file": "AMiAL/Wykłady/1 SEM/20221125083233.md" } } }, @@ -194,17 +206,17 @@ "width": 300, "collapsed": true }, - "active": "710f7c554a075e32", + "active": "8f9834f9b39c8cbc", "lastOpenFiles": [ - "AMiAL/Wykłady/1 SEM/20221125083233.md", + "AMiAL/Wykłady/1 SEM/20221202082251.md", + "AMiAL/Wykłady/1 SEM/20221021083844.md", "AMiAL/Wykłady/1 SEM/20221014083923.md", + "AMiAL/Ćwiczenia/1 SEM/20221202121227.md", + "AMiAL/Wykłady/1 SEM/20221125083233.md", "AMiAL/Wykłady/Wykłady.md", "AMiAL/Ściągi.md", "AMiAL/AMiAL.md", "Elektrotechnika/Wykład/1 SEM/Prąd zmienny.md", - "Elektrotechnika/!Materiały/Wykłady/Wyklad_E4_2020.pdf", - "Elektrotechnika/Wykład/1 SEM/1 SEM.md", - "Elektrotechnika/Wykład/Wykład.md", - "!Załączniki/Excalidraw/Drawing 2022-11-25 13.17.16.excalidraw.md" + "Elektrotechnika/!Materiały/Wykłady/Wyklad_E4_2020.pdf" ] } \ No newline at end of file diff --git a/AMiAL/Wykłady/1 SEM/20221125083233.md b/AMiAL/Wykłady/1 SEM/20221125083233.md index df68a85..0035502 100644 --- a/AMiAL/Wykłady/1 SEM/20221125083233.md +++ b/AMiAL/Wykłady/1 SEM/20221125083233.md @@ -14,7 +14,7 @@ D_{f}\in(-\infty, 1) \cup (1,2) \cup (2,\infty)\\ \lim_{x\rightarrow1}= -granica pionowa obustronna w 1 +granica\ pionowa\ obustronna\ w\ 1 \end{gathered} $$ diff --git a/AMiAL/Ćwiczenia/1 SEM/20221202121227.md b/AMiAL/Ćwiczenia/1 SEM/20221202121227.md new file mode 100644 index 0000000..c2ae162 --- /dev/null +++ b/AMiAL/Ćwiczenia/1 SEM/20221202121227.md @@ -0,0 +1,18 @@ +$$ +\begin{gathered} +f(x)=\begin{cases} +\cfrac{2x^{2}-x-1}{x-1} &x\ne1\\ +-1 &x = 1 +\end{cases}\\\\\\ + +D_{f}=\mathbb{R}\\ +\lim_{x\rightarrow1}\frac{2x^{2}-x-1}{x-1}=^{[\frac{0}{0}]}\lim_{x\rightarrow1}\frac{2(x-1)(x+\frac{1}{2})}{x-1}=\lim_{x\rightarrow1}2x+1=3\\ + +f(1)=-1\\ +\Delta=1+8\\ +\sqrt{\Delta}=3\\ +x_{1}=1\\ +x_{2}= -\frac{1}{2} +\end{gathered} + +$$ \ No newline at end of file