{"id":363,"date":"2022-09-13T04:39:02","date_gmt":"2022-09-13T04:39:02","guid":{"rendered":"http:\/\/nampjournals.org\/?p=363"},"modified":"2022-09-13T04:39:36","modified_gmt":"2022-09-13T04:39:36","slug":"4-on-series-definitions-of-the-exponential-cosine-and-sine-functions","status":"publish","type":"post","link":"https:\/\/nampjournals.org\/?p=363","title":{"rendered":"4.  On Series Definitions of the Exponential, Cosine And Sine Functions"},"content":{"rendered":"<!-- wp:themify-builder\/canvas \/-->\n\n<!--themify_builder_static--><a href=\"http:\/\/nampjournals.org\/publications-download\/volume-62\/04%20On%20series%20definitions%20of%20the%20exponential,%20cosine%20and%20sine%20functions%20by%20sunday%20oluyemi%20.%20Vol%2062%20pg%2019-24.pdf\" > Download Full Article <\/a>\n<p><strong>by Sunday Oluyemi\u00a0\u00a0<\/strong><br \/>Odo-Koto, Aiyedaade, Ilorin South LGA, Kwara State, NIGERIA.<\/p><hr \/><p><strong>Abstract<\/strong><br \/>There are many methods, in the literature, of defining the exponential,<br \/>cosine and sine functions. One method is employing series to define them.<br \/>We here furnish a clear, simple and unflustered proof of convergence of<br \/>these series.<\/p><p><strong>Keywords:<\/strong> Convergence Ratio Test, Alternating Series Test, the nth Term Test.<\/p><!--\/themify_builder_static-->","protected":false},"excerpt":{"rendered":"<p>Download Full Article by Sunday Oluyemi\u00a0\u00a0Odo-Koto, Aiyedaade, Ilorin South LGA, Kwara State, NIGERIA. AbstractThere are many methods, in the literature, of defining the exponential,cosine and sine functions. One method is employing series to define them.We here furnish a clear, simple and unflustered proof of convergence ofthese series. Keywords: Convergence Ratio Test, Alternating Series Test, the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-363","post","type-post","status-publish","format-standard","hentry","category-volume-62","has-post-title","has-post-date","has-post-category","has-post-tag","has-post-comment","has-post-author",""],"builder_content":"<a href=\"http:\/\/nampjournals.org\/publications-download\/volume-62\/04%20On%20series%20definitions%20of%20the%20exponential,%20cosine%20and%20sine%20functions%20by%20sunday%20oluyemi%20.%20Vol%2062%20pg%2019-24.pdf\" > Download Full Article <\/a>\n<p><strong>by Sunday Oluyemi\u00a0\u00a0<\/strong><br \/>Odo-Koto, Aiyedaade, Ilorin South LGA, Kwara State, NIGERIA.<\/p><hr \/><p><strong>Abstract<\/strong><br \/>There are many methods, in the literature, of defining the exponential,<br \/>cosine and sine functions. One method is employing series to define them.<br \/>We here furnish a clear, simple and unflustered proof of convergence of<br \/>these series.<\/p><p><strong>Keywords:<\/strong> Convergence Ratio Test, Alternating Series Test, the nth Term Test.<\/p>","_links":{"self":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts\/363","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=363"}],"version-history":[{"count":2,"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts\/363\/revisions"}],"predecessor-version":[{"id":365,"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts\/363\/revisions\/365"}],"wp:attachment":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=363"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=363"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=363"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}