{"id":11086,"date":"2024-08-24T16:40:17","date_gmt":"2024-08-24T08:40:17","guid":{"rendered":"http:\/\/www.aiersheng.cc\/?p=11086"},"modified":"2024-08-24T16:40:17","modified_gmt":"2024-08-24T08:40:17","slug":"%e6%b5%99%e6%b1%9f%e7%9c%81%e4%b8%93%e5%8d%87%e6%9c%ac%e9%ab%98%e6%95%b0%e5%a4%87%e8%80%83%e5%bf%85%e7%9c%8b%ef%bc%9a%e5%8e%86%e5%b9%b4%e7%9c%9f%e9%a2%98%e6%a0%b8%e5%bf%83%e7%9f%a5%e8%af%86%e7%82%b9-8","status":"publish","type":"post","link":"https:\/\/www.aiersheng.cc\/?p=11086","title":{"rendered":"\u6d59\u6c5f\u7701\u4e13\u5347\u672c\u9ad8\u6570\u5907\u8003\u5fc5\u770b\uff1a\u5386\u5e74\u771f\u9898\u6838\u5fc3\u77e5\u8bc6\u70b9\u5168\u9762\u63d0\u70bc\u4e0e\u4f18\u5316\uff088\uff09"},"content":{"rendered":"

\u9488\u5bf9\u201c0\/0(\u221e*0)\u578b\u6781\u9650\u8ba1\u7b97\u201d\u8fd9\u4e00\u77e5\u8bc6\u70b9\uff0c\u6211\u4eec\u53ef\u4ee5\u8fdb\u4e00\u6b65\u7ec6\u5316\u5176\u89e3\u9898\u7b56\u7565\u548c\u65b9\u6cd5\uff0c\u5e76\u901a\u8fc7\u5177\u4f53\u4f8b\u9898\u6765\u52a0\u6df1\u7406\u89e3\u3002<\/p>\n

1. 0\/0\u578b\u6781\u9650\u8ba1\u7b97<\/h3>\n

\u89e3\u9898\u7b56\u7565\uff1a<\/h4>\n
    \n
  1. \n

    \u65e0\u7a77\u5c0f\u7b49\u4ef7\u4ee3\u6362<\/strong>\uff1a\u9996\u5148\u68c0\u67e5\u662f\u5426\u53ef\u4ee5\u4f7f\u7528\u65e0\u7a77\u5c0f\u7b49\u4ef7\u4ee3\u6362\u6765\u7b80\u5316\u8868\u8fbe\u5f0f\u3002\u8fd9\u901a\u5e38\u9002\u7528\u4e8e\u4e58\u9664\u8fd0\u7b97\u4e2d\u7684\u56e0\u5b50\u3002<\/p>\n<\/li>\n

  2. \n

    \u56e0\u5f0f\u5206\u89e3\u6216\u6709\u7406\u5316<\/strong>\uff1a\u5982\u679c\u8868\u8fbe\u5f0f\u5305\u542b\u53ef\u4ee5\u56e0\u5f0f\u5206\u89e3\u6216\u9700\u8981\u6709\u7406\u5316\u7684\u90e8\u5206\uff08\u5982\u6839\u53f7\uff09\uff0c\u5219\u5148\u8fdb\u884c\u8fd9\u4e9b\u64cd\u4f5c\u3002<\/p>\n<\/li>\n

  3. \n

    \u6d1b\u5fc5\u8fbe\u6cd5\u5219<\/strong>\uff1a\u5982\u679c\u7ecf\u8fc7\u4e0a\u8ff0\u6b65\u9aa4\u540e\u6781\u9650\u4ecd\u4e3a0\/0\u578b\uff0c\u5219\u8003\u8651\u4f7f\u7528\u6d1b\u5fc5\u8fbe\u6cd5\u5219\u3002\u6ce8\u610f\u4f7f\u7528\u524d\u7684\u6761\u4ef6\u68c0\u67e5\u548c\u5316\u7b80\u6b65\u9aa4\u3002<\/p>\n<\/li>\n

  4. \n

    \u6cf0\u52d2\u516c\u5f0f<\/strong>\uff1a\u5728\u52a0\u51cf\u8fd0\u7b97\u4e2d\uff0c\u5982\u679c\u9700\u8981\u4f7f\u7528\u65e0\u7a77\u5c0f\u7b49\u4ef7\u4ee3\u6362\u4f46\u6761\u4ef6\u4e0d\u6ee1\u8db3\uff0c\u53ef\u4ee5\u8003\u8651\u4f7f\u7528\u6cf0\u52d2\u516c\u5f0f\u6765\u4fdd\u6301\u7cbe\u5ea6\u3002<\/p>\n<\/li>\n<\/ol>\n

    \u4f8b\u9898\uff1a<\/h4>\n

    \u4f8b\u98981<\/strong>\uff1a\u6c42\u00a0limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>3<\/span><\/span><\/span><\/span><\/span>s<\/span>i<\/span>n<\/span><\/span>x<\/span>\u2212<\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

    \u89e3\u7b54<\/strong>\uff1a<\/p>\n

      \n
    1. \n

      \u65e0\u7a77\u5c0f\u7b49\u4ef7\u4ee3\u6362<\/strong>\uff1a\u7531\u4e8e\u00a0sin<\/span>x<\/span>\u223c<\/span><\/span>x<\/span><\/span><\/span><\/span><\/span>\uff08\u5f53\u00a0x<\/span>\u2192<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\uff09\uff0c\u4f46\u8fd9\u91cc\u4e0d\u80fd\u76f4\u63a5\u7528\uff0c\u56e0\u4e3a\u9700\u8981\u66f4\u7cbe\u786e\u7684\u8868\u8fbe\u5f0f\u3002<\/p>\n<\/li>\n

    2. \n

      \u6cf0\u52d2\u516c\u5f0f<\/strong>\uff1a\u4f7f\u7528\u00a0sin<\/span>x<\/span>=<\/span><\/span>x<\/span>\u2212<\/span><\/span>6<\/span><\/span>x<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>+<\/span><\/span>o<\/span>(<\/span>x<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>\uff0c\u5219\u00a0sin<\/span>x<\/span>\u2212<\/span><\/span>x<\/span>=<\/span><\/span>\u2212<\/span>6<\/span><\/span>x<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>+<\/span><\/span>o<\/span>(<\/span>x<\/span>3<\/span><\/span><\/span><\/span><\/span><\/span><\/span>)<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<\/li>\n

    3. \n

      \u4ee3\u5165\u539f\u5f0f<\/strong>\uff1alimx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>3<\/span><\/span><\/span><\/span><\/span>s<\/span>i<\/span>n<\/span><\/span>x<\/span>\u2212<\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>limx<\/span>\u2192<\/span>0<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>3<\/span><\/span><\/span><\/span><\/span>\u22126<\/span>x<\/span>3<\/span><\/span><\/span>\u200b<\/span>+<\/span>o<\/span>(<\/span>x<\/span>3<\/span><\/span><\/span>)<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>\u2212<\/span>6<\/span><\/span>1<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<\/li>\n<\/ol>\n

      2. \u221e*0\u578b\u6781\u9650\u8ba1\u7b97<\/h3>\n

      \u89e3\u9898\u7b56\u7565\uff1a<\/h4>\n
        \n
      1. \n

        \u8f6c\u5316\u4e3a0\/0\u578b<\/strong>\uff1a\u901a\u8fc7\u4ee3\u6570\u53d8\u6362\uff08\u5982\u5012\u6570\u3001\u5bf9\u6570\u7b49\uff09\u5c06\u6781\u9650\u8868\u8fbe\u5f0f\u8f6c\u5316\u4e3a0\/0\u578b\u3002<\/p>\n<\/li>\n

      2. \n

        \u5e94\u75280\/0\u578b\u6781\u9650\u7684\u89e3\u9898\u65b9\u6cd5<\/strong>\uff1a\u4e00\u65e6\u8f6c\u5316\u4e3a0\/0\u578b\uff0c\u5c31\u53ef\u4ee5\u4f7f\u7528\u4e0a\u8ff00\/0\u578b\u6781\u9650\u7684\u89e3\u9898\u7b56\u7565\u3002<\/p>\n<\/li>\n<\/ol>\n

        \u4f8b\u9898\uff1a<\/h4>\n

        \u4f8b\u98982<\/strong>\uff1a\u6c42\u00a0limx<\/span>\u2192<\/span>0+<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>ln<\/span>x<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n

        \u89e3\u7b54<\/strong>\uff1a<\/p>\n

          \n
        1. \n

          \u8f6c\u5316\u4e3a0\/0\u578b<\/strong>\uff1a\u8003\u8651\u00a0limx<\/span>\u2192<\/span>0+<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span>ln<\/span>x<\/span>=<\/span><\/span>limx<\/span>\u2192<\/span>0+<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>x<\/span><\/span>1<\/span>\u200b<\/span><\/span><\/span>l<\/span>n<\/span><\/span>x<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<\/li>\n

        2. \n

          \u5e94\u7528\u6d1b\u5fc5\u8fbe\u6cd5\u5219<\/strong>\uff1a\u5bf9\u5206\u5b50\u548c\u5206\u6bcd\u5206\u522b\u6c42\u5bfc\uff0c\u5f97\u5230\u00a0limx<\/span>\u2192<\/span>0+<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>\u2212x<\/span>2<\/span><\/span><\/span>1<\/span>\u200b<\/span><\/span><\/span>x<\/span><\/span>1<\/span>\u200b<\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>limx<\/span>\u2192<\/span>0+<\/span><\/span><\/span><\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>\u2212<\/span>x<\/span>=<\/span><\/span>0<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<\/li>\n<\/ol>\n

          \u603b\u7ed3\uff1a<\/h3>\n

          \u5728\u5904\u74060\/0\u578b\u548c\u221e*0\u578b\u6781\u9650\u65f6\uff0c\u5173\u952e\u5728\u4e8e\u901a\u8fc7\u9002\u5f53\u7684\u4ee3\u6570\u53d8\u6362\u548c\u6781\u9650\u6027\u8d28\u7684\u5e94\u7528\u6765\u7b80\u5316\u95ee\u9898\u3002\u65e0\u7a77\u5c0f\u7b49\u4ef7\u4ee3\u6362\u3001\u56e0\u5f0f\u5206\u89e3\u3001\u6709\u7406\u5316\u3001\u6d1b\u5fc5\u8fbe\u6cd5\u5219\u548c\u6cf0\u52d2\u516c\u5f0f\u662f\u5904\u7406\u8fd9\u7c7b\u95ee\u9898\u7684\u6709\u529b\u5de5\u5177\u3002\u5728\u5b9e\u9645\u89e3\u9898\u4e2d\uff0c\u5e94\u6839\u636e\u5177\u4f53\u60c5\u51b5\u7075\u6d3b\u9009\u62e9\u548c\u5e94\u7528\u8fd9\u4e9b\u65b9\u6cd5\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

          \u9488\u5bf9\u201c0\/0(\u221e*0)\u578b\u6781\u9650\u8ba1\u7b97\u201d\u8fd9\u4e00\u77e5\u8bc6\u70b9\uff0c\u6211\u4eec\u53ef\u4ee5\u8fdb\u4e00\u6b65\u7ec6\u5316\u5176\u89e3\u9898\u7b56\u7565\u548c\u65b9\u6cd5\uff0c\u5e76\u901a\u8fc7\u5177\u4f53\u4f8b\u9898\u6765\u52a0\u6df1\u7406\u89e3\u3002 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[124],"tags":[],"class_list":["post-11086","post","type-post","status-publish","format-standard","hentry","category-zsb"],"_links":{"self":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11086","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=11086"}],"version-history":[{"count":0,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=\/wp\/v2\/posts\/11086\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11086"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11086"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.aiersheng.cc\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11086"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}