{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f5bbd897-7d26-4f74-8e2b-37091c944e71",
   "metadata": {},
   "source": [
    "# <span style=\"color: Maroon\">Задачи для практического занятия по курсу:</span>\n",
    "\n",
    "## <span style=\"color: Purple\">\"ПРОГРАММИРОВАНИЕ\"</span> &#128105;&#8205;&#128187;\n",
    "\n",
    "### <span style=\"color: Blue\">Лабораторная работа по теме \"Суммирование числовых рядов\" &#128221;</span>\n",
    "\n",
    "#### Преподаватель практики: Т.Ф. Долгих, каф. ВМ и МФ, мехмат ЮФУ &#128105;&#8205;&#127979;\n",
    "\n",
    "-----------\n",
    "\n",
    "<span style=\"color: DarkRed\">**Переименовать файл:**</span> File -> Rename... -> поменять NameStud на свою фамилию, записанную латинскими буквами -> нажать Rename.\n",
    "\n",
    "\n",
    "-----------"
   ]
  },
  {
   "attachments": {
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   },
   "cell_type": "markdown",
   "id": "7bf8600a-d6d6-4d8e-b2a1-a32e624c6328",
   "metadata": {},
   "source": [
    "![image.png](attachment:1662a2d2-c393-476a-834f-578d9ef5d61a.png)"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "08328a36-155a-45b3-b8ce-636e52ff08f6",
   "metadata": {},
   "source": [
    "Для решения пункта 1) воспользуемся общей формулой вида\n",
    "![image.png](attachment:3c6527af-40d1-40f3-bfd3-b12f276d4f73.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3a8ab3c5-8a64-480e-ae04-09d38296767d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "summa = 0.99684\n"
     ]
    }
   ],
   "source": [
    "# программа для пункта 1)\n",
    "\n",
    "eps = 1e-5\n",
    "\n",
    "s = 0  # для БЕСКОНЕЧНОГО ряда всегда 0!!!!\n",
    "\n",
    "# начальные значения - первое слагаемое\n",
    "a = 0.5\n",
    "i = 1\n",
    "while a >= eps:\n",
    "    s += a\n",
    "    i += 1   # всегда во всех рядах!!!!\n",
    "    a = 1 / i / (i + 1)\n",
    "\n",
    "print('summa = %7.5f' %s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "74e5313a-12fa-4534-86df-d6098e82c3ab",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "summa sympy = 1.00000\n"
     ]
    }
   ],
   "source": [
    "# проверка для пункта 1)\n",
    "\n",
    "from sympy import Symbol, Sum, oo\n",
    "\n",
    "i = Symbol('i')\n",
    "ss = Sum(1 / i / (i + 1), (i, 1, oo)).evalf()\n",
    "\n",
    "print('summa sympy = %7.5f' %ss)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04056ea4-805b-40f2-b458-ff2effd9e212",
   "metadata": {},
   "source": [
    "Для решения пункта 2) воспользуемся общей формулой вида\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e943420c-eb40-4aa8-9b59-12555d2578d6",
   "metadata": {},
   "outputs": [],
   "source": [
    "# программа для пункта 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2564471b-690d-48de-b17f-8f0dd190cfc3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# проверка для пункта 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a810ce2b-f2a4-44b7-aa67-2e27583a3728",
   "metadata": {},
   "source": [
    "Для решения пункта 3) воспользуемся общей формулой вида\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a0774f6a-5fd1-4e01-9c4c-4c2355664d86",
   "metadata": {},
   "outputs": [],
   "source": [
    "# программа для пункта 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "95d5ea17-fc35-4338-a93b-ed0cebdbba33",
   "metadata": {},
   "outputs": [],
   "source": [
    "# проверка для пункта 3)"
   ]
  },
  {
   "attachments": {
    "3288bf0c-ba68-46c2-9413-ebc84401a603.png": {
     "image/png": 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    }
   },
   "cell_type": "markdown",
   "id": "f3bf644b-ca66-4d5a-951f-5aa8ab5427c2",
   "metadata": {},
   "source": [
    "![image.png](attachment:3288bf0c-ba68-46c2-9413-ebc84401a603.png)"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "08cb6457-8c75-4794-b3a4-a05d5be1c73d",
   "metadata": {},
   "source": [
    "Вычислять значения ряда 1) будем по формулам\n",
    "![image.png](attachment:3ee4543f-52cd-4232-b239-ef4d4ce17fbc.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "1c21c4ce-d987-4062-9820-5b0382747435",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "summa = 0.69314\n"
     ]
    }
   ],
   "source": [
    "# программа для пункта 1)\n",
    "\n",
    "eps = 1e-5\n",
    "\n",
    "s = 0\n",
    "\n",
    "# первое слагаемое\n",
    "a = 1\n",
    "i = 1\n",
    "z = 1   # положительное значение\n",
    "while abs(a) >= eps:\n",
    "    s += a\n",
    "    i += 1\n",
    "    z = -z   # меняем знак для каждого слагаемого\n",
    "    a = z / i\n",
    "\n",
    "print('summa = %7.5f' %s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b7128e5b-918e-489b-a248-5c76124f172b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "summa sympy = 0.69315\n"
     ]
    }
   ],
   "source": [
    "# проверка пункта 1)\n",
    "\n",
    "from sympy import Symbol, Sum, oo\n",
    "\n",
    "i = Symbol('i')\n",
    "ss = Sum((-1) ** (i + 1) / i, (i, 1, oo)).evalf()\n",
    "\n",
    "print('summa sympy = %7.5f' %ss)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b5c6d68-58e5-43d5-a6fb-6ea16b3aa333",
   "metadata": {},
   "source": [
    "Вычислять значения ряда 2) будем по формулам\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "abc2386a-b20e-4d7b-93c3-8a690993926f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# программа для пункта 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a782108f-0428-49ba-931c-b05a1a2d2795",
   "metadata": {},
   "outputs": [],
   "source": [
    "# проверка пункта 2)"
   ]
  }
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