{"id":2,"date":"2016-09-14T07:27:41","date_gmt":"2016-09-14T07:27:41","guid":{"rendered":"https:\/\/blogs.ubc.ca\/qiwei\/?page_id=2"},"modified":"2016-09-29T23:17:26","modified_gmt":"2016-09-30T06:17:26","slug":"sample-page","status":"publish","type":"page","link":"https:\/\/blogs.ubc.ca\/qiwei\/sample-page\/","title":{"rendered":"Assignment 3 Q3"},"content":{"rendered":"<p>a) what distinguishes convergent sequences from divergent sequences<br \/>\nWhen n is approaching to infinity, the convergent sequence is close to a real number not approaching to infinity. For example, the sequence {1\/n}, in this sequence, when n is approaching to infinity, 1\/n is approaching to 0.<br \/>\nWhen n is approaching to infinity, the divergent sequences do not approaching to any real number or approaching to infinity. For example 1) {(-1)^n}, in this sequence, we cannot figure out what is the data when n is approaching to the infinity, it can be 1 or -1. 2) {n^2}, in this sequence, when n is approaching to the infinity, the sequence is approaching to the infinity as well.<\/p>\n<p>b) what distinguishes convergent series from divergent series.<br \/>\nConvergent series is the sum of sequences is close to a number. From the ratio rule, when the |r|1 in a series, this series is divergent. For example, the sum of sequence {2^n}.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>a) what distinguishes convergent sequences from divergent sequences When n is approaching to infinity, the convergent sequence is close to a real number not approaching to infinity. For example, the sequence {1\/n}, in this sequence, when n is approaching to infinity, 1\/n is approaching to 0. When n is approaching to infinity, the divergent sequences [&hellip;]<\/p>\n","protected":false},"author":44838,"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:\/\/blogs.ubc.ca\/qiwei\/wp-json\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/qiwei\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/qiwei\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/qiwei\/wp-json\/wp\/v2\/users\/44838"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/qiwei\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":2,"href":"https:\/\/blogs.ubc.ca\/qiwei\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":4,"href":"https:\/\/blogs.ubc.ca\/qiwei\/wp-json\/wp\/v2\/pages\/2\/revisions\/4"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/qiwei\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}