{"id":2,"date":"2019-12-23T17:39:15","date_gmt":"2019-12-23T16:39:15","guid":{"rendered":"http:\/\/brunolovat.com\/?page_id=2"},"modified":"2024-10-17T19:38:19","modified_gmt":"2024-10-17T17:38:19","slug":"page-d-exemple","status":"publish","type":"page","link":"https:\/\/brunolovat.com\/index.php\/page-d-exemple\/","title":{"rendered":"R\u00e9ponse au texte \u00a0\u00bbA propos des mots\u00a0\u00bb"},"content":{"rendered":"

L’\u00e9galit\u00e9 t\u00e9lescopique propos\u00e9e :
\n\"(2-1) + (3-2) + (4-3) + \ldots = -1 + (2-2) + (3-3) + \ldots\"
\nn’a pas vraiment de sens. Certes, elle correspond dans le texte \u00e0 \"u_k = k\", mais ce cas \u00e9chappe bien s\u00fbr \u00e0 l’\u00e9tude que nous avons faite, car la suite \"(u_k)\" n’est pas d\u00e9croissante.
\n On voit imm\u00e9diatement par exemple que la probabilit\u00e9 de bien r\u00e9pondre \u00e0 la question \"k\" :<\/p>\n\n\n

  <\/span>   <\/span>\"\[<\/p>\n

est plus grande que 1, ce qui est absurde.<\/p>\n\n\n

Par ailleurs, la somme t\u00e9lescopique est maintenant infinie ! L’\u00e9galit\u00e9 :<\/p>\n

  <\/span>   <\/span>\"\[<\/p>\n

montre que cette somme ne converge lorsque \"n \to +\infty\" que si et seulement si la suite \"(u_n)\" est elle-m\u00eame convergente, ce qui n’est absolument pas le cas ici…<\/p>\n\n\n\n\n\n

Retour<\/a><\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Retour<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/brunolovat.com\/index.php\/wp-json\/wp\/v2\/pages\/2"}],"collection":[{"href":"https:\/\/brunolovat.com\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/brunolovat.com\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/brunolovat.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/brunolovat.com\/index.php\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":10,"href":"https:\/\/brunolovat.com\/index.php\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":125,"href":"https:\/\/brunolovat.com\/index.php\/wp-json\/wp\/v2\/pages\/2\/revisions\/125"}],"wp:attachment":[{"href":"https:\/\/brunolovat.com\/index.php\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}