{"id":114009,"date":"2020-01-29T18:19:02","date_gmt":"2020-01-29T17:19:02","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/calculo\/teorema-weierstrass.html"},"modified":"2020-01-29T18:19:02","modified_gmt":"2020-01-29T17:19:02","slug":"teorema-weierstrass","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\/teorema-weierstrass.html","title":{"rendered":"Teorema de weierstrass"},"content":{"rendered":"<section id=\"sec\" style=\"\">\n<p class=\"\"><strong>Si una funci\u00f3n f(x) est\u00e1 definida y es continua en un intervalo cerrado [a, b], entonces f(X) alcanza al menos un m\u00e1ximo y un m\u00ednimo absolutos en el intervalo [a, b]. <\/strong><\/p>\n<p class=\"\"><strong>Es decir,  que hay al menos dos puntos x<sub>1<\/sub>, x<sub>2<\/sub> pertenecientes a [a, b] donde f alcanza valores extremos absolutos:<\/strong><\/p>\n<p class=\"actividades_2_v_ir\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/teorema-de-weierstrass-1.gif\" alt=\"Explicaciones y ejemplos de teorema de weierstrass - 1\"  ><\/p>\n<p class=\"actividades_2\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/teorema-de-weierstrass-2.gif\" alt=\"Explicaciones y ejemplos de teorema de weierstrass - 2\" \/><\/p>\n<p class=\"\" style=\"\">El <strong>teorema de Weierstrass<\/strong> <em>no nos indica donde se encuentra el m\u00e1ximo y el m\u00ednimo<\/em>, s\u00f3lo afirma que existen.<\/p>\n<p><\/p>\n<p class=\"\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/teorema-de-weierstrass-3.gif\" alt=\"Explicaciones y ejemplos de teorema de weierstrass - 3\"  > es continua en el intervalo [-1, 4] <\/p>\n<p class=\"actividades_2\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/teorema-de-weierstrass-4.gif\" alt=\"Explicaciones y ejemplos de teorema de weierstrass - 4\"  ><\/p>\n<p class=\"actividades_2_v_ir\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/teorema-de-weierstrass-5.gif\" alt=\"Explicaciones y ejemplos de teorema de weierstrass - 5\"  ><\/p>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Si una funci\u00f3n f(x) est\u00e1 definida y es continua en un intervalo cerrado [a, b], entonces f(X) alcanza al menos un m\u00e1ximo y un m\u00ednimo absolutos en el intervalo [a, b]. Es decir, que hay al menos dos puntos x1, x2 pertenecientes a [a, b] donde f alcanza valores extremos absolutos: El teorema de Weierstrass [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[366],"tags":[364],"class_list":["post-114009","post","type-post","status-publish","format-standard","hentry","category-calculo","tag-t"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\" class=\"advgb-post-tax-term\">C\u00e1lculo<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">C\u00e1lculo<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\" class=\"advgb-post-tax-term\">t<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">t<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 6 a\u00f1os hace","modified":"Actualizado 6 a\u00f1os hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 29 enero 2020"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 19 min","modified":"Actualizado el 29 enero 2020 18 h 19 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/114009","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=114009"}],"version-history":[{"count":0,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/114009\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=114009"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=114009"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=114009"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}