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Fixed terms in Taylor series #307

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This commit is contained in:
Roger Labbe 2020-05-04 15:41:49 -07:00
parent 3b6d8b6bef
commit 23b0c376a2
1 changed files with 7 additions and 7 deletions
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14
Supporting_Notebooks/Taylor-Series.ipynb
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@ -2,7 +2,7 @@
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@ -25,7 +25,7 @@
"<IPython.core.display.HTML object>"
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@ -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",
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