\u6781\u9650\u7684\u5b9a\u4e49<\/p>\n\n\n\n
\u6570\u5217\u6781\u9650\/\u51fd\u6570\u6781\u9650<\/p>\n\n\n\n
\u60f3\u8981\u4efb\u610f\u8fd1\uff0c\u53ea\u8981\u8db3\u591f\u8fd1<\/p>\n\n\n\n
\u5b9a\u4e49\uff1a$lim_{x\\to x_0}f(x)=L$<\/p>\n\n\n\n
$\\forall \\varepsilon, \\exists \\delta$,\u4f7f\u5f97 $\\left|x-x_{0}\\right|<\\delta$\u65f6,\u6709$|f(x)-L|<\\varepsilon$<\/p>\n\n\n\n
\u6781\u9650\u7684\u56db\u5219\u8fd0\u7b97\u4e0e\u6781\u9650\u7684\u590d\u5408<\/p>\n\n\n\n
\uff081\uff09\u52a0\u6cd5\uff1a$lim_{x\\to x_0}f(x)=L_1, lim_{x\\to x_0}g(x)=L_2$, \u5219$ lim_{x\\to x_0}f(x)+g(x)=L_1+L_2$,<\/p>\n\n\n\n
$\\forall \\varepsilon, \\exists \\delta, s.t|f(x)+g(x)-(L_1+L_2)|<\\varepsilon$<\/p>\n\n\n\n
\u82e5$|f(x)-L_1|<\\frac{\\varepsilon}{2}$\u4e14 $|g(x)-L_2|<\\frac{\\varepsilon}{2}$ <\/p>\n\n\n\n
\u6781\u9650\u7684\u590d\u5408<\/p>\n\n\n\n
\u82e5$\\lim {x \\to x<\/em>{0}} f(x)=L_{1} \\lim {x \\to L<\/em>{1}} g(x)=l_{2}$\uff0c\u5219 $\\lim {x \\to x<\/em>{0}}g(f(x))=L_{2}$<\/p>\n","raw":"","protected":false},"excerpt":{"rendered":" \u6781\u9650\u7684\u5b9a\u4e49 \u6570\u5217\u6781\u9650\/\u51fd\u6570\u6781\u9650 \u60f3\u8981\u4efb\u610f\u8fd1\uff0c\u53ea\u8981\u8db3\u591f\u8fd1 \u5b9a\u4e49\uff1a$lim_{x\\to x_0}f(x)=L$ $ … <\/p>\n