Notice how you have a difference of two cubes.<\/p>\n
##(x-y)(x^2 + xy + y^2) = x^3 + x^2y + xy^2 – x^2y – xy^2 – y^3 = x^3 – y^3##<\/p>\n
##((x)^3 – (2)^3)\/(x-2) = ((x-2)(x^2 + 2x + 4))\/(x-2) = x^2 + 2x + 4##<\/p>\n
Plug in ##2##:<\/p>\n
##lim_(x->2)(x^3 – 8)\/(x-2)= 4 + 4 + 4 = 12##<\/p>\n","protected":false},"excerpt":{"rendered":"
Notice how you have a difference of two cubes. ##(x-y)(x^2 + xy + y^2) = x^3 + x^2y + xy^2 – x^2y – xy^2 – y^3 = x^3 – y^3## ##((x)^3 – (2)^3)\/(x-2) = ((x-2)(x^2 + 2x + 4))\/(x-2) = Read More …<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-28208","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/28208","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=28208"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/28208\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=28208"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=28208"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=28208"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}