{"id":8084,"date":"2016-05-26T17:17:14","date_gmt":"2016-05-26T15:17:14","guid":{"rendered":"http:\/\/www.matematicaok.it\/?p=8084"},"modified":"2016-05-26T17:18:35","modified_gmt":"2016-05-26T15:18:35","slug":"serie-numeriche-definizione","status":"publish","type":"post","link":"https:\/\/www.matematicaok.com\/?p=8084","title":{"rendered":"Serie Numeriche: definizione"},"content":{"rendered":"<p>Una serie numerica \u00e8 una somma formale degli infiniti termini di una successione di numeri:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.edutecnica.it\/matematica\/serie\/1.png\" width=\"210\" height=\"62\" \/><br \/>\n<span style=\"text-decoration: underline;\">Condizione necessaria ma non sufficiente per la sua convergenza<\/span> \u00e8:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.edutecnica.it\/matematica\/serie\/2.png\" width=\"96\" height=\"42\" align=\"absmiddle\" \/> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0cio\u00e8:<\/p>\n<p>se\u00a0\u00a0\u00a0\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.edutecnica.it\/matematica\/serie\/3.png\" width=\"96\" height=\"42\" align=\"absmiddle\" \/> \u00a0\u00a0\u00a0\u00a0la serie non converge<\/p>\n<p>se\u00a0\u00a0 <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.edutecnica.it\/matematica\/serie\/4.png\" width=\"96\" height=\"42\" align=\"absmiddle\" \/>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0la serie pu\u00f2 convergere o non convergere<\/p>\n<p>Indicando con<i> s<sub>n<\/sub> <\/i>la somma parziale n-esima, se la serie converge, risulta:<\/p>\n<p align=\"left\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.edutecnica.it\/matematica\/serie\/5.png\" width=\"99\" height=\"44\" \/><\/p>\n<p align=\"left\">Se la serie converge tale limite \u00e8 finito ed s \u00e8 la\u00a0somma della serie.<\/p>\n<p align=\"left\">\n","protected":false},"excerpt":{"rendered":"<p>Una serie numerica \u00e8 una somma formale degli infiniti termini di una successione di numeri: Condizione necessaria ma non sufficiente per la sua convergenza \u00e8: \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0cio\u00e8: se\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0la serie non converge se\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0la serie pu\u00f2 convergere o non convergere Indicando con sn la somma parziale n-esima, se la serie converge, risulta: Se la serie converge tale limite \u00e8 finito ed s \u00e8 la\u00a0somma della serie.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2}},"categories":[266],"tags":[],"class_list":["post-8084","post","type-post","status-publish","format-standard","hentry","category-serie-numeriche"],"jetpack_publicize_connections":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p85Wmq-26o","_links":{"self":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8084","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8084"}],"version-history":[{"count":3,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8084\/revisions"}],"predecessor-version":[{"id":8087,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=\/wp\/v2\/posts\/8084\/revisions\/8087"}],"wp:attachment":[{"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8084"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8084"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.matematicaok.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8084"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}