Math/calculus/theory/limit_py.ipynb

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   "source": [
    "\"\"\"Limit in python.\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sympy as sp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{1}{3}$"
      ],
      "text/plain": [
       "1/3"
      ]
     },
     "execution_count": 2,
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   "source": [
    "n_ = sp.symbols(\"n\")\n",
    "f_ = (n_**2 + 3 * n_ - 5) / (3 * n_**2 - n_ + 6)\n",
    "limit = sp.limit(f_, n_, sp.oo)\n",
    "limit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 0$"
      ],
      "text/plain": [
       "0"
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     "execution_count": 3,
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   ],
   "source": [
    "n_ = sp.symbols(\"n\")\n",
    "f_ = (sp.sqrt(n_) * sp.sin(n_)) / ((2 * n_) + 6)\n",
    "limit = sp.limit(f_, n_, sp.oo)\n",
    "limit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 0$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n_ = sp.symbols(\"n\")\n",
    "f_ = (sp.sqrt(n_)) / (n_)\n",
    "limit = sp.limit(f_, n_, sp.oo)\n",
    "limit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 0$"
      ],
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n_ = sp.symbols(\"n\")\n",
    "f_ = sp.sqrt(n_ + 1) - sp.sqrt(n_)\n",
    "limit = sp.limit(f_, n_, sp.oo)\n",
    "limit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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