{"id":7413,"date":"2012-03-09T12:44:58","date_gmt":"2012-03-09T12:44:58","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?page_id=7413"},"modified":"2012-03-09T12:44:58","modified_gmt":"2012-03-09T12:44:58","slug":"teoria-de-limites","status":"publish","type":"page","link":"https:\/\/www.acasinhadamatematica.pt\/?page_id=7413","title":{"rendered":"Teoria de limites"},"content":{"rendered":"<ul class=\"lcp_catlist\" id=\"lcp_instance_0\"><li><a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=7591\">Calcule, se existir, o limite das fun\u00e7\u00f5es dadas nos pontos indicados<\/a>  26 de Mar\u00e7o de 2012<\/li><li><a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=7559\">Seja $g$ a fun\u00e7\u00e3o real de vari\u00e1vel real definida por $g(x) = x &#8211; 1 + {e^{ &#8211; \\frac{x}{2}}}$<\/a>  26 de Mar\u00e7o de 2012<\/li><li><a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=7526\">Considere a fun\u00e7\u00e3o<\/a>  25 de Mar\u00e7o de 2012<\/li><li><a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=7414\">Considere a fun\u00e7\u00e3o<\/a>  9 de Mar\u00e7o de 2012<\/li><li><a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=7408\">Determine $k$ de modo que a reta de equa\u00e7\u00e3o $y = 3x &#8211; 1$ seja ass\u00edntota do gr\u00e1fico da fun\u00e7\u00e3o<\/a>  8 de Mar\u00e7o de 2012<\/li><li><a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=7406\">Mostre que a reta de equa\u00e7\u00e3o $y = 2x &#8211; 1$ \u00e9 ass\u00edntota do gr\u00e1fico da fun\u00e7\u00e3o<\/a>  8 de Mar\u00e7o de 2012<\/li><li><a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=7405\">Dadas as fun\u00e7\u00f5es reais de vari\u00e1vel real<\/a>  8 de Mar\u00e7o de 2012<\/li><li><a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=7402\">Calcule os seguintes limites, se existirem<\/a>  2 de Mar\u00e7o de 2012<\/li><li><a href=\"https:\/\/www.acasinhadamatematica.pt\/?p=7401\">Limites laterais da fun\u00e7\u00e3o $f$<\/a>  2 de Mar\u00e7o de 2012<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p><ul id='GTTabs_ul_7413' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_7413' class='GTTabs_curr'><a  id=\"7413_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_7413'><a  id=\"7413_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Sabe-se que $f({u_n}) = 2$ e $f({v_n}) =\u00a0 &#8211; 2$ para todas as sucess\u00f5es $({u_n})$ e $({v_n})$ nas condi\u00e7\u00f5es seguintes:<\/p>\n<ul>\n<li>$\\begin{array}{*{20}{l}} \u00a0 {({u_n} \\in {D_f}}&amp; \\wedge &amp;{{u_n} &gt; 3,}&amp;{\\forall n \\in \\mathbb{N})}&amp; \\wedge &amp;{{u_n} \\to 3} \\end{array}$<\/li>\n<li>$\\begin{array}{*{20}{l}} \u00a0 {({v_n} \\in {D_f}}&amp; \\wedge &amp;{{v_n} &lt; 3,}&amp;{\\forall n \\in \\mathbb{N})}&amp; \\wedge &amp;{{v_n} \\to 3} \\end{array}$<\/li>\n<\/ul>\n<p>Conclua, caso seja poss\u00edvel, quanto \u00e0 exist\u00eancia e ao valor:<\/p>\n<ol>\n<li>dos limites laterais da fun\u00e7\u00e3o $f$ no ponto de abcissa 3;<\/li>\n<li>do limite da fun\u00e7\u00e3o <\/li><\/ol>&hellip; <a href=\"https:\/\/www.acasinhadamatematica.pt\/?page_id=7413\" class=\"read-more\">Ler mais <\/a>","protected":false},"author":1,"featured_media":0,"parent":6992,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-7413","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/pages\/7413","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7413"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/pages\/7413\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/pages\/6992"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7413"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}