{"id":229718,"date":"2026-06-08T08:00:17","date_gmt":"2026-06-08T11:00:17","guid":{"rendered":"http:\/\/clubes.obmep.org.br\/blog\/?p=229718"},"modified":"2026-06-07T22:18:04","modified_gmt":"2026-06-08T01:18:04","slug":"problemao-equacao-infinita","status":"publish","type":"post","link":"https:\/\/clubes.obmep.org.br\/blog\/2026\/06\/problemao-equacao-infinita\/","title":{"rendered":"Problem\u00e3o: Equa\u00e7\u00e3o infinita"},"content":{"rendered":"<p style=\"margin:10px;\">\n<div style=\"border: 2px solid #800000; padding: 10px; font-size: 14px; font-family: verdana; line-height: 20px;margin:10px 10px 20px 10px;\">\n<p style=\"text-align:center; color:#800000; margin:10px;\"> <strong>PROBLEMA<\/strong><\/p>\n<p>Resolva a equa\u00e7\u00e3o abaixo, sabendo que [tex]x\\gt 1[\/tex]:<br \/>\n<center>[tex]\\dfrac{1}{x}+\\dfrac{2}{x^2}+\\dfrac{3}{x^3} +\\dfrac{4}{x^4} +\\dfrac{5}{x^5} + \\dots = \\dfrac{4}{9}[\/tex].<\/center>\n<\/div>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/02\/Desafio2.png\" style=\"border:none\" alt=\"\" width=\"100\" height=\"97\" class=\"aligncenter size-full wp-image-2992\" \/><\/p>\n<div style=\"border: 1px dotted #800000; padding: 10px; font-size: small; font-family: verdana; color: #616161; line-height: 20px; text-align: justify;\">\nRe\u00fanam seus Clubes e tentem resolver o problema.<br \/>\nCaso n\u00e3o consigam, n\u00e3o se preocupem. A partir do dia 11, pr\u00f3xima quinta-feira, visitem a Sala <a href=\"http:\/\/clubes.obmep.org.br\/forum\/viewforum.php?f=1095\" title=\"Visitem a Sala!\" target=\"_blank\"> <span style=\"color: #800000;\"> <strong>Problemas da Semana: Dicas, Orienta\u00e7\u00f5es e D\u00favidas<\/strong><\/a> do nosso <strong>F\u00f3rum<\/strong>.<br \/>\nL\u00e1 voc\u00eas encontrar\u00e3o Dicas e Orienta\u00e7\u00f5es que ajudam a resolver a quest\u00e3o e tamb\u00e9m poder\u00e3o postar as suas d\u00favidas para que os nossos Moderadores possam lhes ajudar.<br \/>\nAp\u00f3s resolverem o problema, compartilhem suas solu\u00e7\u00f5es no F\u00f3rum ou aqui no Blog, para que todos possam ter acesso a elas!<\/p>\n<p  style=\"text-align:center; font-size:16px; color:#800000\"> <strong>Bons estudos, pessoal!<\/strong><\/p>\n<\/div>\n<p style=\"margin:10px;\">\n","protected":false},"excerpt":{"rendered":"<p>PROBLEMA Resolva a equa\u00e7\u00e3o abaixo, sabendo que [tex]x\\gt 1[\/tex]: [tex]\\dfrac{1}{x}+\\dfrac{2}{x^2}+\\dfrac{3}{x^3} +\\dfrac{4}{x^4} +\\dfrac{5}{x^5} + \\dots = \\dfrac{4}{9}[\/tex]. Re\u00fanam seus Clubes e tentem resolver o problema. Caso n\u00e3o consigam, n\u00e3o se preocupem. A partir do dia 11, pr\u00f3xima quinta-feira, visitem a Sala Problemas da Semana: Dicas, Orienta\u00e7\u00f5es e D\u00favidas do nosso F\u00f3rum. L\u00e1 voc\u00eas encontrar\u00e3o Dicas e &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/clubes.obmep.org.br\/blog\/2026\/06\/problemao-equacao-infinita\/\">Continue lendo<\/a><\/p>\n","protected":false},"author":668,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[21,3],"tags":[],"class_list":["post-229718","post","type-post","status-publish","format-standard","hentry","category-problemao","category-algebra","item-wrap"],"_links":{"self":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/posts\/229718","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/users\/668"}],"replies":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/comments?post=229718"}],"version-history":[{"count":1,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/posts\/229718\/revisions"}],"predecessor-version":[{"id":229719,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/posts\/229718\/revisions\/229719"}],"wp:attachment":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/media?parent=229718"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/categories?post=229718"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/tags?post=229718"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}