Corrected code and text errors in lab 02-02

StephenElston · StephenElston · commit e3e0895f657f · 2020-04-20T11:04:57.000-07:00
diff --git a/Module02/02-02-Limits.ipynb b/Module02/02-02-Limits.ipynb
@@ -553,13 +553,13 @@
     "}\n",
     "\n",
     "## Construct the data frame.\n",
-    "df19= data.frame(x = seq(-20,20))\n",
+    "df19= data.frame(x = seq(-20,20,by=0.1))\n",
     "df19$y = k(df19$x) ## Call g(x) with the vector df2$x\n",
     "\n",
     "## data frames to marker points\n",
-    "df20 = data.frame(x = c(-15, -10, -5, 0, 4, 6, 10, 15, 20))\n",
+    "df20 = data.frame(x = c(-15, -10, -5, 0, 0.001, 6, 10, 15, 20))\n",
     "df20$y = k(df20$x)\n",
-    "df21 = data.frame(x = 5, y = k(5))\n",
+    "df21 = data.frame(x = c(0,0), y = k(c(0.0,0.01)))\n",
     "\n",
     "## Make the plot\n",
     "ggplot(df19, aes(x,y)) + geom_line(color = 'green', size = 1) +\n",
@@ -576,19 +576,19 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "The plot of the function shows a line in which the *c(x)* value increases towards 25 as *x* approaches 5 from the negative side:\n",
+    "The plot of the function shows a line in which the *c(x)* value increases towards 20 as *x* approaches 0 from the negative side:\n",
     "\n",
-    "\\begin{equation}\\lim_{x \\to 5^{-}} c(x) = 25 \\end{equation}\n",
+    "\\begin{equation}\\lim_{x \\to 0^{-}} c(x) = 20 \\end{equation}\n",
     "\n",
-    "However, the *c(x)* value decreases towards -95 as *x* approaches 5 from the positive side:\n",
+    "However, the *c(x)* value decreases towards -100 as *x* approaches 0 from the positive side:\n",
     "\n",
-    "\\begin{equation}\\lim_{x \\to 5^{+}} c(x) = -95 \\end{equation}\n",
+    "\\begin{equation}\\lim_{x \\to 0^{+}} c(x) = -100 \\end{equation}\n",
     "\n",
     "So what can we say about the two-sided limit of this function at x = 0?\n",
     "\n",
-    "The limit as we approach x = 5 from the negative side is *not* equal to the limit as we approach x = 5 from the positive side, so no two-sided limit exists for this function at that point:\n",
+    "The limit as we approach x = 0 from the negative side is *not* equal to the limit as we approach x = 0 from the positive side, so no two-sided limit exists for this function at that point:\n",
     "\n",
-    "\\begin{equation}\\lim_{x \\to 5} \\text{does not exist} \\end{equation}"
+    "\\begin{equation}\\lim_{x \\to 0} \\text{does not exist} \\end{equation}"
    ]
   },
   {
@@ -1122,7 +1122,7 @@
    "mimetype": "text/x-r-source",
    "name": "R",
    "pygments_lexer": "r",
-   "version": "3.6.0"
+   "version": "3.6.3"
   }
  },
  "nbformat": 4,
