diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 751856a..1ba6f87 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -13,12 +13,12 @@
             "state": {
               "type": "markdown",
               "state": {
-                "file": "Funktioner.md",
+                "file": "Gräsvärde (1).md",
                 "mode": "source",
                 "source": false
               },
               "icon": "lucide-file",
-              "title": "Funktioner"
+              "title": "Gräsvärde (1)"
             }
           },
           {
@@ -83,16 +83,15 @@
             "state": {
               "type": "markdown",
               "state": {
-                "file": "Gräsvärde (1).md",
+                "file": "Funktioner Forts.md",
                 "mode": "source",
                 "source": false
               },
               "icon": "lucide-file",
-              "title": "Gräsvärde (1)"
+              "title": "Funktioner Forts"
             }
           }
-        ],
-        "currentTab": 4
+        ]
       }
     ],
     "direction": "vertical"
@@ -124,7 +123,7 @@
             "state": {
               "type": "search",
               "state": {
-                "query": "",
+                "query": "\\circ",
                 "matchingCase": false,
                 "explainSearch": false,
                 "collapseAll": false,
@@ -252,16 +251,16 @@
       "obsidian-git:Open Git source control": false
     }
   },
-  "active": "be47d5ede3a9176b",
+  "active": "5d5c0fef64eecc2b",
   "lastOpenFiles": [
-    "Trigonometri.md",
-    "Grafer.md",
-    "Gräsvärde (1).md",
-    "Komplexa tal.md",
-    "conflict-files-obsidian-git.md",
-    "gv1.png",
     "Funktioner.md",
     "Funktioner Forts.md",
+    "Komplexa tal.md",
+    "Gräsvärde (1).md",
+    "Trigonometri.md",
+    "Grafer.md",
+    "conflict-files-obsidian-git.md",
+    "gv1.png",
     "k2.png",
     "k1.png",
     "f_inverse.png",
diff --git a/Gräsvärde (1).md b/Gräsvärde (1).md
index 496cf3a..a4751bc 100644
--- a/Gräsvärde (1).md	
+++ b/Gräsvärde (1).md	
@@ -24,6 +24,18 @@
 	- $\left[\infty^0\right]$ form **Ex**: $$\lim_{x\to\infty}x^{1/x}$$
 	- $\left[1^\infty\right]$ form: **Ex**: $$\lim_{x\to0}(1+x)^{1/x}$$
 	- $\left[\infty-\infty\right]$ form: $$\lim_{x\to\infty}\left(\sqrt{x^2+5x+1}-\sqrt{x^2+3x-5}\right)$$
+		- **Ex**: $$
+\begin{align}
+\lim_{x\to\infty}\left(\sqrt{x^2+5x+1}-\sqrt{x^2+3x-5}\right)\\
+=\lim_{x\to\infty}\frac{\left(\sqrt{x^2+5x+1}-\sqrt{x^2+3x-5}\right)\left(\sqrt{x^2+5x+1}+\sqrt{x^2+3x-5}\right)}{\sqrt{x^2+5x+1}+\sqrt{x^2+3x-5}}\\
+=\lim_{x\to\infty}\frac{\left(\cancel{x^2}+5x+1\right)-\left(\cancel{x^2}+3x-5\right)}{\sqrt{x^2+5x+1}+\sqrt{x^2+3x-5}}\\
+=\lim_{x\to\infty}\frac{2x+6}{\sqrt{x^2+5x+1}+\sqrt{x^2+3x-5}}\\
+=\lim_{x\to\infty}\frac{x(2+\frac6x)}{\sqrt{x^2}\left(\sqrt{x^2+5x+1}+\sqrt{x^2+3x-5}\right)}\\
+=\lim_{x\to\infty}\frac{\cancel{x}(2+\frac6x)}{\cancel{x}\left(\sqrt{x^2+5x+1}+\sqrt{x^2+3x-5}\right)}\\
+=\lim_{x\to\infty}\frac{(2+\frac6x)}{\left(\sqrt{x^2+5x+1}+\sqrt{x^2+3x-5}\right)}\\
+=\frac{2+0}{\sqrt{1+0+0}+\sqrt{1+0-0}}=1
+\end{align}
+$$
 	- **Ex**: $$\begin{align}\lim_{x\to1}\frac{x^2-3x+2}{x^2-1}=\frac{0^2-3\times0+2}{0^2-1}=\frac{1+2}{1-1}=\frac{3}{0}\text{ Fins inget gränsvärde}\\\lim_{x\to1}\frac{x^2-3x+2}{x^2-1}\Longleftrightarrow\lim_{x\to1}\frac{(x-1)(x-2)}{(x-1)(x+1)}=\frac{x-2}{x+1}=\frac{1-2}{1+1}=-\frac12\end{align}$$
 	- **Ex**: $$\lim_{x\to\infty}\frac{x^2-3x+2}{x^2-1}=\lim_{x\to\infty}\frac{1-\frac3x+\frac2{x^2}}{1-\frac1{x^2}}=\frac{1-0+0}{1-0}=1$$
 	- **Ex**: $$$$
@@ -34,4 +46,8 @@
 	- $$\lim_{x\to a}\frac{f(x)}{g(x)}=\frac{A}{B}\text{ om }B\neq0$$
 	- **Theorem**: *Instängningsregel $$\left.\begin{aligned}f(x)\leq g(x)\leq h(x),\;\forall x\\\lim_{x\to a}f(x)=L=\lim_{x\to a}h(x)\end{aligned}\right\}\Rightarrow\lim_{x\to a}g(x)=L$$*
 	- **Theorem**: $$f(X)\leq g(x),\;\forall x\Rightarrow\;\lim_{x\to a}f(x)\leq\lim_{x\to a}g(x)$$
-	- **Theorem**: *Sammansättningsregel $$\left.\begin{aligned}\lim_{x\to a}f(x)=b\\\lim_{x\to b}g(x)=L\end{aligned}\right\}\Leftarrow$$*
\ No newline at end of file
+	- **Theorem**: *Sammansättningsregel $$\left.\begin{aligned}\lim_{x\to a}f(x)=b\\\lim_{x\to b}g(x)=L\end{aligned}\right\}\Rightarrow\lim_{x\to a}g\circ f(x)=L$$*
+	- **Variabelbyte**: $$\lim_{x\to a}g\circ f(x)=\lim_{t\to b}g(x)\text{ där }t=f(x)\longrightarrow b\text{ då }x\longrightarrow a$$
+	- **Ex**: $$
+\begin{align}\lim_{x\to0}x^2\sin\frac1x\\-1\leq\sin\frac1x\leq1,\; x\neq0\\\Rightarrow-x^2\leq x^2\sin\frac1x\leq x^2\\\lim_{x\to0}-x^2=0=\lim_{x\to0}x^2\\\text{Enlight instängningsregel, }\\\lim_{x\to0}x^2\sin\frac1x=0\\\end{align}
+$$
\ No newline at end of file