\u65e0\u7a77\u5927\u4e4b\u6bd4\u8f83 <\/p>\n\n\n\n
\u5f53$n\\in N$\uff0c$n\\to \\infty$\u65f6\uff0c$lnn<n^{\\frac{1}{a_1}}<n<n^{a_2}<a_3^n<n!<n^n$<\/p>\n\n\n\n
\u4e00\u3001\u6c42\u8bc1\uff1a$lim_{n\\to \\infty}\\frac{n^{a_2}}{a_3^n}=0<\/p>\n\n\n\n
\u4e8c\u3001\u6c42\u8bc1\uff1a$a_3^n<n!$<\/p>\n\n\n\n
Stirling\u8fd1\u4f3c<\/p>\n\n\n\n
$n!\\prox\\sqrt{2\\pi n}\\left(\\frac{n}{e}\\right)^n$<\/p>\n\n\n\n
\u5bf9\u4e0a\u8ff0\u5185\u5bb9\u6c42\u5012\u6570\uff0c\u5373\u53ef\u6bd4\u8f83\u65e0\u7a77\u5c0f<\/p>\n","raw":"","protected":false},"excerpt":{"rendered":"
\u65e0\u7a77\u5927\u4e4b\u6bd4\u8f83 \u5f53$n\\in N$\uff0c$n\\to \\infty$\u65f6\uff0c$lnn<n^{\\frac{1}{a_1 … <\/p>\n