{"id":30443,"date":"2026-11-05T18:26:55","date_gmt":"2026-11-05T23:26:55","guid":{"rendered":"https:\/\/library.bc.edu\/answerwall\/?p=30443"},"modified":"2026-11-05T18:26:55","modified_gmt":"2026-11-05T23:26:55","slug":"does-limx-y-0-0-x3y3-x2y2-exist","status":"publish","type":"post","link":"https:\/\/library.bc.edu\/answerwall\/2026\/11\/05\/does-limx-y-0-0-x3y3-x2y2-exist\/","title":{"rendered":"Does lim(x, y) -> (0, 0) (x^3+y^3)\/(x^2+y^2) exist?"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/library.bc.edu\/answerwall\/wp-content\/uploads\/2026\/11\/AW110526-1.jpeg\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"320\" src=\"https:\/\/library.bc.edu\/answerwall\/wp-content\/uploads\/2026\/11\/AW110526-1.jpeg\" alt=\"Does lim(x, y) -&gt; (0, 0) (x^3+y^3)\/(x^2+y^2) exist?\" class=\"wp-image-30438\" srcset=\"https:\/\/library.bc.edu\/answerwall\/wp-content\/uploads\/2026\/11\/AW110526-1.jpeg 320w, https:\/\/library.bc.edu\/answerwall\/wp-content\/uploads\/2026\/11\/AW110526-1-300x300.jpeg 300w, https:\/\/library.bc.edu\/answerwall\/wp-content\/uploads\/2026\/11\/AW110526-1-150x150.jpeg 150w, https:\/\/library.bc.edu\/answerwall\/wp-content\/uploads\/2026\/11\/AW110526-1-100x100.jpeg 100w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><figcaption class=\"wp-element-caption\">Does lim(x, y) -> (0, 0) (x^3+y^3)\/(x^2+y^2) exist?<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-30443","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/posts\/30443","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/comments?post=30443"}],"version-history":[{"count":1,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/posts\/30443\/revisions"}],"predecessor-version":[{"id":30444,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/posts\/30443\/revisions\/30444"}],"wp:attachment":[{"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/media?parent=30443"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/categories?post=30443"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/library.bc.edu\/answerwall\/wp-json\/wp\/v2\/tags?post=30443"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}