{"id":698,"date":"2023-10-24T21:35:56","date_gmt":"2023-10-24T13:35:56","guid":{"rendered":"http:\/\/www.forillusion.com\/?p=698"},"modified":"2025-02-14T11:39:18","modified_gmt":"2025-02-14T03:39:18","slug":"limit-and-continuity-word-list","status":"publish","type":"post","link":"https:\/\/www.forillusion.com\/index.php\/limit-and-continuity-word-list\/","title":{"rendered":"\u7b2c\u4e8c\u7ae0 \u6781\u9650\u4e0e\u8fde\u7eed \u8bcd\u6c47\u8868"},"content":{"rendered":"\n<p><div class=\"has-toc have-toc\"><\/div><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u6570\u5217\u7684\u6781\u9650<\/h2>\n\n\n\n<p>\u6781\u9650 limit<br>\u6570\u5217 sequence of number<br>\u901a\u9879 general term<br>\u4e0b\u6807 subscript<br>\u811a\u6807 subscript<br>\u9644\u6807 subscript<br>\u6781\u9650 limit<br>\u6536\u655b convergence<br>\u6536\u655b\u4e8e a converge to a<br>\u53d1\u6563 divergent<br>\u6781\u9650\u8fc7\u7a0b limit process<br>\u6781\u9650\u7684\u4fdd\u53f7\u6027 the extreme preservation property<br>\u6781\u9650\u7684\u552f\u4e00\u6027 uniqueness of limits<br>\u6536\u655b\u6570\u5217\u7684\u6709\u754c\u6027 boundedness of a convergent sequence<br>\u5355\u8c03\u6570\u5217 monotonic sequence<br>\u5939\u903c\u5b9a\u7406 squeeze rule<br>\u5b50\u5217 subsequence<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u51fd\u6570\u7684\u6781\u9650<\/h2>\n\n\n\n<p>\u51fd\u6570\u7684\u6781\u9650 limits of functions<br>\u51fd\u6570 \u5f53x\u8d8b\u4e8ex0\u65f6\u7684\u6781\u9650 limit of functions as x approaches x0<br>\u5de6\u6781\u9650 left limit<br>\u53f3\u6781\u9650 right limit<br>\u5355\u4fa7\u6781\u9650 one-sided limits<br>\u6c34\u5e73\u6e10\u8fd1\u7ebf horizontal asymptote<br>\u65e0\u7a77\u5c0f infinitesimal<br>\u65e0\u7a77\u5927 infinity<br>\u6b63\u65e0\u7a77\u5927 positive infinity<br>\u8d1f\u65e0\u7a77\u5927 negative infinity<br>\u94c5\u76f4\u6e10\u8fd1\u7ebf vertical asymptote<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u65e0\u7a77\u5c0f\u91cf\u4e0e\u65e0\u7a77\u5927\u91cf<\/h2>\n\n\n\n<p>\u65e0\u7a77\u5c0f\u91cf infinitesimal quantity<br>\u9ad8\u9636\u65e0\u7a77\u5c0f\u91cf infinitesimal of higher order<br>\u4f4e\u9636\u65e0\u7a77\u5c0f\u91cf infinitesimal of lower order<br>\u540c\u9636\u65e0\u7a77\u5c0f\u91cf infinitesimal of the same order<br>\u7b49\u4ef7\u65e0\u7a77\u5c0f\u91cf equivalent infinitesimal<br>k\u9636\u65e0\u7a77\u5c0f\u91cf infinitesimal quantity of order k<br>\u65e0\u7a77\u5927\u91cf infinite quantity<br>\u540c\u9636\u65e0\u7a77\u5927\u91cf infinite quantity of the same order<br>\u9ad8\u9636\u65e0\u7a77\u5927\u91cf higher infinite quantity<br>k\u9636\u65e0\u7a77\u5927\u91cf infinite quantity of order k<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u51fd\u6570\u7684\u8fde\u7eed\u6027<\/h2>\n\n\n\n<p>\u51fd\u6570\u7684\u8fde\u7eed\u6027 continuity of a function<br>\u8fde\u7eed continuous<br>\u5de6\u8fde\u7eed left continuous<br>\u53f3\u8fde\u7eed right continuous<br>\u589e\u91cf increment<br>\u51fd\u6570 \u5728x0\u8fde\u7eed the function is continuous at x0<br>\u533a\u95f4\u4e0a\u7684\u8fde\u7eed\u51fd\u6570 continuous function<br>\u51fd\u6570 \u5728\u8be5\u533a\u95f4\u4e0a\u8fde\u7eed function is continuous on an interval<br>\u4e0d\u8fde\u7eed\u70b9 discontinuity point<br>\u53ef\u53bb\u95f4\u65ad\u70b9 discontinuity point can be removed<br>\u8df3\u8dc3\u95f4\u65ad\u70b9 jump discontinuity<br>\u632f\u8361\u95f4\u65ad\u70b9 oscillation discontinuity point<br>\u65e0\u7a77\u95f4\u65ad\u70b9 infinite discontinuity point<br>\u8dc3\u5ea6 jumping degree<br>\u7b2c\u4e00\u7c7b\u95f4\u65ad\u70b9 discontinuity point of the first kind<br>\u7b2c\u4e8c\u7c7b\u95f4\u65ad\u70b9 discontinuity point of the second kind<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u95ed\u533a\u95f4\u4e0a\u8fde\u7eed\u51fd\u6570\u7684\u6027\u8d28<\/h2>\n\n\n\n<p>\u5b9a\u4e49\u533a\u95f4 defined interval<br>\u6700\u5927\u503c global maximum value (absolute maximum)<br>\u6700\u5c0f\u503c global minimum value (absolute minimum)<br>\u6700\u5927\u503c\u70b9 maximum value point<br>\u6700\u5c0f\u503c\u70b9 minimum value point<br>\u96f6\u70b9\u5b9a\u7406 the zero point theorem<br>\u4ecb\u503c\u5b9a\u7406 intermediate value theorem<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6570\u5217\u7684\u6781\u9650 \u6781\u9650 limit\u6570\u5217 sequence of number\u901a\u9879 general term\u4e0b\u6807 subscript\u811a\u6807  &#8230;<\/p>","protected":false},"author":1,"featured_media":697,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[21,19],"class_list":["post-698","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-20","tag-21","tag-19"],"_links":{"self":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/698","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/comments?post=698"}],"version-history":[{"count":1,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/698\/revisions"}],"predecessor-version":[{"id":1763,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/posts\/698\/revisions\/1763"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media\/697"}],"wp:attachment":[{"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/media?parent=698"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/categories?post=698"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.forillusion.com\/index.php\/wp-json\/wp\/v2\/tags?post=698"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}