{"id":701,"date":"2022-08-30T15:05:44","date_gmt":"2022-08-30T15:05:44","guid":{"rendered":"https:\/\/unknownerror.org\/index.php\/2013\/11\/09\/limits-find-the-limit-of-x-3-x2-9-lim-x-3-collection-of-common-programming-errors\/"},"modified":"2022-08-30T15:05:44","modified_gmt":"2022-08-30T15:05:44","slug":"limits-find-the-limit-of-x-3-x2-9-lim-x-3-collection-of-common-programming-errors","status":"publish","type":"post","link":"https:\/\/unknownerror.org\/index.php\/2022\/08\/30\/limits-find-the-limit-of-x-3-x2-9-lim-x-3-collection-of-common-programming-errors\/","title":{"rendered":"Limits: Find the limit of [x &#8211; 3\/ x^2 &#8211; 9]; lim x -&gt; 3?-Collection of common programming errors"},"content":{"rendered":"<p>mathematics Retrieving original web address<br \/>\ndiscoverer: anonymous <img decoding=\"async\" src=\"http:\/\/l.yimg.com\/sc\/28222\/answers2\/images\/a\/i\/identity\/nopic_48.png\" \/> Find the limit of [x &#8211; 3\/ x^2 &#8211; 9]; lim x -&gt; 3<\/p>\n<p>I worked this problem and got f(x) 1\/(3 &#8211; x) ; which is undefined. Did anyone get any thing different? Your help is always appreciated!<\/p>\n<ol>\n<li>Well, firstly the limit can be re-written as: limit of [x &#8211; 3\/ (x+3)(x &#8211; 3)]; lim x -&gt; 3 which can be simiplified to: limit of [1\/ x+3]; lim x -&gt; 3\n<p>Hence the limit is 1\/6.<\/p>\n<\/li>\n<li>(x &#8211; 3) \/ (x\u00b2 &#8211; 9) = (x &#8211; 3) \/ [(x &#8211; 3)(x + 3)] = 1 \/ (x + 3)\n<p>lim [1 \/ (x + 3)] as x &#8211;&gt; 3 = 1\/6<\/p>\n<\/li>\n<\/ol>\n<p>Source of the problem\uff1a answers.yahoo<\/p>\n<p>Web site is in building<\/p>\n<p id=\"rop\"><small>Originally posted 2013-11-09 21:40:18. <\/small><\/p>","protected":false},"excerpt":{"rendered":"<p>mathematics Retrieving original web address discoverer: anonymous Find the limit of [x &#8211; 3\/ x^2 &#8211; 9]; lim x -&gt; 3 I worked this problem and got f(x) 1\/(3 &#8211; x) ; which is undefined. Did anyone get any thing different? Your help is always appreciated! Well, firstly the limit can be re-written as: limit [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-701","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/posts\/701","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/comments?post=701"}],"version-history":[{"count":0,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/posts\/701\/revisions"}],"wp:attachment":[{"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/media?parent=701"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/categories?post=701"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/unknownerror.org\/index.php\/wp-json\/wp\/v2\/tags?post=701"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}