Fixed terms in Taylor series #307

Author: rlabbe

Supporting_Notebooks/Taylor-Series.ipynb

@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 1,
    "metadata": {},
    "outputs": [
     {
@@ -25,7 +25,7 @@
        "<IPython.core.display.HTML object>"
       ]
      },
-     "execution_count": 3,
+     "execution_count": 1,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -66,21 +66,21 @@
     "\n",
     "Now we can substitute these values into the equation.\n",
     "\n",
-    "$$\\sin(x) = \\frac{0}{0!}(x)^0 + \\frac{1}{1!}(x)^1 + \\frac{0}{2!}(x)^2 + \\frac{-1}{3!}(x)^3 + \\frac{0}{4!}(x)^4 + \\frac{-1}{5!}(x)^5 + ... $$\n",
+    "$$\\sin(x) = \\frac{0}{0!}(x)^0 + \\frac{1}{1!}(x)^1 + \\frac{0}{2!}(x)^2 + \\frac{-1}{3!}(x)^3 + \\frac{0}{4!}(x)^4 + \\frac{1}{5!}(x)^5 + ... $$\n",
     "\n",
     "And let's test this with some code:"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "estimate of sin(.3) is 0.30452025\n",
+      "estimate of sin(.3) is 0.29552025\n",
       "exact value of sin(.3) is 0.29552020666133955\n"
      ]
     }
@@ -89,7 +89,7 @@
     "import numpy as np\n",
     "\n",
     "x = .3\n",
-    "estimate = x + x**3/6 + x**5/120\n",
+    "estimate = x - x**3/6 + x**5/120\n",
     "exact = np.sin(.3)\n",
     "\n",
     "print('estimate of sin(.3) is', estimate)\n",
@@ -120,7 +120,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.7.1"
+   "version": "3.7.6"
   }
  },
  "nbformat": 4,