{"id":29066,"date":"2018-01-30T15:09:22","date_gmt":"2018-01-30T15:09:22","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=29066"},"modified":"2018-01-30T15:09:22","modified_gmt":"2018-01-30T15:09:22","slug":"calculus-using-excel-to-verify-limit-nth-root-of-n-n-goes-to-infinity","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/calculus-using-excel-to-verify-limit-nth-root-of-n-n-goes-to-infinity\/","title":{"rendered":"Calculus: using Excel to verify limit nth root of n, n goes to infinity"},"content":{"rendered":"<h1>Tutoring calculus, you cover limits. The tutor mentions using Excel for confirmation.<\/h1>\n<p>Because of Excel&#8217;s power, it can do some particular calculations you might use to verify a calculus limit.<\/p>\n<p>Example:<\/p>\n<p>In my <a href=\"?p=15310\">April 19, 2016<\/a> post I develop the limit:<\/p>\n<p>lim<sub>n&#8594;&#8734;<\/sub>n^(1\/n)=1<\/p>\n<p>also known as the nth root of n as n approaches infinity.<\/p>\n<p>Even when proven, sometimes there might be lingering doubt about a limit so hard to put in everyday context.<\/p>\n<p>Worry no more &#8211; you can put it into context, using Excel. Check out the following verification calculations:<\/p>\n<p>=1000^(0.001)=1.006932<\/p>\n<p>=10000^(0.0001)=1.000921<\/p>\n<p>Clearly the limit of 1 is being approached as n increases.<\/p>\n<p>HTH:)<\/p>\n<p>Jack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tutoring calculus, you cover limits. The tutor mentions using Excel for confirmation. Because of Excel&#8217;s power, it can do some particular calculations you might use to verify a calculus limit. Example: In my April 19, 2016 post I develop the &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/calculus-using-excel-to-verify-limit-nth-root-of-n-n-goes-to-infinity\/\"> <span class=\"screen-reader-text\">Calculus: using Excel to verify limit nth root of n, n goes to infinity<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[234,1],"tags":[2704,2705],"class_list":["post-29066","post","type-post","status-publish","format-standard","hentry","category-calculus","category-uncategorized","tag-checking-a-calculus-limit-using-excel","tag-limit-infinity-nth-root-of-n"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/29066","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=29066"}],"version-history":[{"count":30,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/29066\/revisions"}],"predecessor-version":[{"id":29096,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/29066\/revisions\/29096"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=29066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=29066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=29066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}