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   "source": [
    "import { assertEquals } from \"jsr:@std/assert\"\n",
    "import \"https://git.amgdhg.de/kg/tslib/raw/branch/main/logger.ts\""
   ]
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    "# Aufgabe 01.07.1 - Fakultät\n",
    "\n",
    "Eine wichtige mathematische Funktion ist die Fakultät:\n",
    "$$n! = 1\\cdot2\\cdot3\\cdots(n-2)\\cdot(n-1)\\cdot n$$\n",
    "zum Beispiel:\n",
    "$$5!=1\\cdot2\\cdot3\\cdot4\\cdot5=120$$\n",
    "\n",
    "Ziel soll sein, die Funktion `fakultaet` rekursiv zu programmieren. Dafür gibt es zunächst einige Vorüberlegungen:"
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   "source": [
    "## Teil 1\n",
    "Notiere zunächst die rekursiven Funktionsaufrufe für das konkrete Zahlenbeispiel $n=5$:"
   ]
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   "source": [
    "## Teil 2\n",
    "Wann bricht die Rekursion ab, d.h. wann wird nicht mehr erneut die Funktion `fakultaet` aufgerufen?"
   ]
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   "source": [
    "## Teil 3\n",
    "Programmiere die Funktion `fakultaet`:"
   ]
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    "let _nr = \"01.07.1\"\n",
    "Deno.test(`${_nr}: function`, () => {\n",
    "    assertEquals(typeof fakultaet, 'function')\n",
    "})\n",
    "Deno.test(`${_nr}: Parameter`, () => {\n",
    "    assertEquals(fakultaet.length, 1)\n",
    "})\n",
    "Deno.test(`${_nr}: fakultaet(1)=1`, () => {\n",
    "    assertEquals(fakultaet(1), 1)\n",
    "})\n",
    "Deno.test(`${_nr}: fakultaet(3)=6`, () => {\n",
    "    assertEquals(fakultaet(3), 6)\n",
    "})\n",
    "Deno.test(`${_nr}: fakultaet(5)=120`, () => {\n",
    "    assertEquals(fakultaet(5), 120)\n",
    "})\n",
    "Deno.test(`${_nr}: fakultaet(11)=39916800`, () => {\n",
    "    assertEquals(fakultaet(11), 39916800)\n",
    "})"
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