{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T07:39:15+00:00","modifiedTime":"2016-03-26T07:39:15+00:00","timestamp":"2022-09-14T17:51:07+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33720"},"slug":"math","categoryId":33720},{"name":"Calculus","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33723"},"slug":"calculus","categoryId":33723}],"title":"10 Quick Calculus Limit Problems","strippedTitle":"10 quick calculus limit problems","slug":"10-quick-calculus-limit-problems","canonicalUrl":"","seo":{"metaDescription":"Limits are a key part of calculus. Quiz yourself on the following quick calculus limit problems. These limits are ones you should probably just memorize. Here a","noIndex":0,"noFollow":0},"content":"Limits are a key part of calculus. Quiz yourself on the following quick calculus limit problems. These limits are ones you should probably just memorize. \n<ol class=\"level-one\">\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481400.image0.png\" height=\"41\" alt=\"image0.png\" width=\"97\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481401.image1.png\" height=\"52\" alt=\"image1.png\" width=\"85\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481402.image2.png\" height=\"52\" alt=\"image2.png\" width=\"110\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481403.image3.png\" height=\"52\" alt=\"image3.png\" width=\"89\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481404.image4.png\" height=\"62\" alt=\"image4.png\" width=\"139\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481405.image5.png\" height=\"56\" alt=\"image5.png\" width=\"93\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481406.image6.png\" height=\"52\" alt=\"image6.png\" width=\"135\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481407.image7.png\" height=\"52\" alt=\"image7.png\" width=\"110\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481408.image8.png\" height=\"56\" alt=\"image8.png\" width=\"93\"/>\n </li>\n <li> \n<img src=\"https://www.dummies.com/wp-content/uploads/481409.image9.png\" height=\"52\" alt=\"image9.png\" width=\"102\"/>\n </li>\n</ol>\nHere are the answers to the quick limit problems:\n<ol class=\"level-one\">\n <li>20 (The limit of any constant equals itself; it doesn’t matter what the arrow number is.)\n </li>\n <li>DNE (Does not exist.)\n </li>\n <li>1\n </li>\n <li>0\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481410.image10.png\" height=\"25\" alt=\"image10.png\" width=\"85\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481411.image11.png\" height=\"18\" alt=\"image11.png\" width=\"37\"/>\n </li>\n <li>0\n </li>\n <li>1\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481412.image12.png\" height=\"18\" alt=\"image12.png\" width=\"22\"/>\n </li>\n <li>0\n </li>\n</ol>","description":"Limits are a key part of calculus. Quiz yourself on the following quick calculus limit problems. These limits are ones you should probably just memorize. \n<ol class=\"level-one\">\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481400.image0.png\" height=\"41\" alt=\"image0.png\" width=\"97\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481401.image1.png\" height=\"52\" alt=\"image1.png\" width=\"85\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481402.image2.png\" height=\"52\" alt=\"image2.png\" width=\"110\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481403.image3.png\" height=\"52\" alt=\"image3.png\" width=\"89\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481404.image4.png\" height=\"62\" alt=\"image4.png\" width=\"139\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481405.image5.png\" height=\"56\" alt=\"image5.png\" width=\"93\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481406.image6.png\" height=\"52\" alt=\"image6.png\" width=\"135\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481407.image7.png\" height=\"52\" alt=\"image7.png\" width=\"110\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481408.image8.png\" height=\"56\" alt=\"image8.png\" width=\"93\"/>\n </li>\n <li> \n<img src=\"https://www.dummies.com/wp-content/uploads/481409.image9.png\" height=\"52\" alt=\"image9.png\" width=\"102\"/>\n </li>\n</ol>\nHere are the answers to the quick limit problems:\n<ol class=\"level-one\">\n <li>20 (The limit of any constant equals itself; it doesn’t matter what the arrow number is.)\n </li>\n <li>DNE (Does not exist.)\n </li>\n <li>1\n </li>\n <li>0\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481410.image10.png\" height=\"25\" alt=\"image10.png\" width=\"85\"/>\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481411.image11.png\" height=\"18\" alt=\"image11.png\" width=\"37\"/>\n </li>\n <li>0\n </li>\n <li>1\n </li>\n <li>\n<img src=\"https://www.dummies.com/wp-content/uploads/481412.image12.png\" height=\"18\" alt=\"image12.png\" width=\"22\"/>\n </li>\n <li>0\n </li>\n</ol>","blurb":"","authors":[{"authorId":8957,"name":"Mark Ryan","slug":"mark-ryan","description":" Mark Ryan has taught pre-algebra through calculus for more than 25 years. In 1997, he founded The Math Center in Winnetka, Illinois, where he teaches junior high and high school mathematics courses as well as standardized test prep classes. He also does extensive one-on-one tutoring. He is a member of the Authors Guild and the National Council of Teachers of Mathematics. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8957"}}],"primaryCategoryTaxonomy":{"categoryId":33723,"title":"Calculus","slug":"calculus","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33723"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[],"relatedArticles":{"fromBook":[],"fromCategory":[{"articleId":256336,"title":"Solve a Difficult Limit Problem Using the Sandwich Method","slug":"solve-a-difficult-limit-problem-using-the-sandwich-method","categoryList":["academics-the-arts","math","calculus"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/256336"}},{"articleId":255765,"title":"Solve Limit Problems on a Calculator Using Graphing Mode","slug":"solve-limit-problems-on-a-calculator-using-graphing-mode","categoryList":["academics-the-arts","math","calculus"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/255765"}},{"articleId":255755,"title":"Solve Limit Problems on a Calculator Using the Arrow-Number","slug":"solve-limit-problems-on-a-calculator-using-the-arrow-number","categoryList":["academics-the-arts","math","calculus"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/255755"}},{"articleId":255261,"title":"Limit and Continuity Graphs: Practice Questions","slug":"limit-and-continuity-graphs-practice-questions","categoryList":["academics-the-arts","math","calculus"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/255261"}},{"articleId":255255,"title":"Use the Vertical Line Test to Identify a Function","slug":"use-the-vertical-line-test-to-identify-a-function","categoryList":["academics-the-arts","math","calculus"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/255255"}}]},"hasRelatedBookFromSearch":true,"relatedBook":{"bookId":291686,"slug":"calculus-1001-practice-problems-for-dummies-free-online-access","isbn":"9781119883654","categoryList":["academics-the-arts","math","calculus"],"amazon":{"default":"https://www.amazon.com/gp/product/1119883652/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119883652/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119883652-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119883652/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119883652/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/covers/9781119883654.jpg","width":250,"height":350},"title":"Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice)","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"\n Patrick Jones has a master’s degree in Mathematics from the University of Louisville. He has taught at University of Louisville, Vanderbilt University, and Austin Community College. Jones now primarily spends his time expanding his Youtube video library as PatrickJMT.","authors":[{"authorId":9453,"name":"Patrick Jones","slug":"patrick-jones","description":" Patrick Jones has a master’s degree in Mathematics from the University of Louisville. He has taught at University of Louisville, Vanderbilt University, and Austin Community College. Jones now primarily spends his time expanding his Youtube video library as PatrickJMT. ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/9453"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/291686"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{"key":"cat","values":["academics-the-arts","math","calculus"]},{"key":"isbn","values":[null]}]\" id=\"du-slot-6322148b4b3f5\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{"key":"cat","values":["academics-the-arts","math","calculus"]},{"key":"isbn","values":[null]}]\" id=\"du-slot-6322148b4b8fc\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":null,"lifeExpectancySetFrom":null,"dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":142642},"articleLoadedStatus":"success"},"listState":{"list":{},"objectTitle":"","status":"initial","pageType":null,"objectId":null,"page":1,"sortField":"time","sortOrder":1,"categoriesIds":[],"articleTypes":[],"filterData":{},"filterDataLoadedStatus":"initial","pageSize":10},"adsState":{"pageScripts":{"headers":{"timestamp":"2024-03-04T05:50:01+00:00"},"adsId":0,"data":{"scripts":[{"pages":["all"],"location":"header","script":"\r\n<script src=\"https://cdn.optimizely.com/js/10563184655.js\"></script>","enabled":false},{"pages":["all"],"location":"header","script":"\r\n<script>var _comscore = _comscore || [];_comscore.push({ c1: \"2\", c2: \"15097263\" });(function() {var s = document.createElement(\"script\"), el = document.getElementsByTagName(\"script\")[0]; s.async = true;s.src = (document.location.protocol == \"https:\" ? \"https://sb\" : \"http://b\") + \".scorecardresearch.com/beacon.js\";el.parentNode.insertBefore(s, el);})();</script><noscript><img src=\"https://sb.scorecardresearch.com/p?c1=2&c2=15097263&cv=2.0&cj=1\" /></noscript>\r\n","enabled":true},{"pages":["all"],"location":"footer","script":"\r\n<script type='text/javascript'>\r\n(function(){var g=function(e,h,f,g){\r\nthis.get=function(a){for(var a=a+\"=\",c=document.cookie.split(\";\"),b=0,e=c.length;b<e;b++){for(var d=c[b];\" \"==d.charAt(0);)d=d.substring(1,d.length);if(0==d.indexOf(a))return d.substring(a.length,d.length)}return null};\r\nthis.set=function(a,c){var b=\"\",b=new Date;b.setTime(b.getTime()+6048E5);b=\"; expires=\"+b.toGMTString();document.cookie=a+\"=\"+c+b+\"; path=/; \"};\r\nthis.check=function(){var a=this.get(f);if(a)a=a.split(\":\");else if(100!=e)\"v\"==h&&(e=Math.random()>=e/100?0:100),a=[h,e,0],this.set(f,a.join(\":\"));else return!0;var c=a[1];if(100==c)return!0;switch(a[0]){case \"v\":return!1;case \"r\":return c=a[2]%Math.floor(100/c),a[2]++,this.set(f,a.join(\":\")),!c}return!0};\r\nthis.go=function(){if(this.check()){var a=document.createElement(\"script\");a.type=\"text/javascript\";a.src=g;document.body&&document.body.appendChild(a)}};\r\nthis.start=function(){var t=this;\"complete\"!==document.readyState?window.addEventListener?window.addEventListener(\"load\",function(){t.go()},!1):window.attachEvent&&window.attachEvent(\"onload\",function(){t.go()}):t.go()};};\r\ntry{(new g(100,\"r\",\"QSI_S_ZN_5o5yqpvMVjgDOuN\",\"https://zn5o5yqpvmvjgdoun-wiley.siteintercept.qualtrics.com/SIE/?Q_ZID=ZN_5o5yqpvMVjgDOuN\")).start()}catch(i){}})();\r\n</script><div id='ZN_5o5yqpvMVjgDOuN'></div>\r\n","enabled":false},{"pages":["all"],"location":"header","script":"\r\n<script>\r\n (function(h,o,t,j,a,r){\r\n h.hj=h.hj||function(){(h.hj.q=h.hj.q||[]).push(arguments)};\r\n h._hjSettings={hjid:257151,hjsv:6};\r\n a=o.getElementsByTagName('head')[0];\r\n r=o.createElement('script');r.async=1;\r\n r.src=t+h._hjSettings.hjid+j+h._hjSettings.hjsv;\r\n a.appendChild(r);\r\n })(window,document,'https://static.hotjar.com/c/hotjar-','.js?sv=');\r\n</script>","enabled":false},{"pages":["article"],"location":"header","script":" <script src=\"//get.s-onetag.com/bffe21a1-6bb8-4928-9449-7beadb468dae/tag.min.js\" async defer></script>","enabled":true},{"pages":["homepage"],"location":"header","script":"<meta name=\"facebook-domain-verification\" content=\"irk8y0irxf718trg3uwwuexg6xpva0\" />","enabled":true},{"pages":["homepage","article","category","search"],"location":"footer","script":"\r\n<noscript>\r\n<img height=\"1\" width=\"1\" src=\"https://www.facebook.com/tr?id=256338321977984&ev=PageView&noscript=1\"/>\r\n</noscript>\r\n","enabled":true}]}},"pageScriptsLoadedStatus":"success"},"navigationState":{"navigationCollections":[{"collectionId":287568,"title":"BYOB (Be Your Own Boss)","hasSubCategories":false,"url":"/collection/for-the-entry-level-entrepreneur-287568"},{"collectionId":293237,"title":"Be a Rad Dad","hasSubCategories":false,"url":"/collection/be-the-best-dad-293237"},{"collectionId":295890,"title":"Career Shifting","hasSubCategories":false,"url":"/collection/career-shifting-295890"},{"collectionId":294090,"title":"Contemplating the Cosmos","hasSubCategories":false,"url":"/collection/theres-something-about-space-294090"},{"collectionId":287563,"title":"For Those Seeking Peace of Mind","hasSubCategories":false,"url":"/collection/for-those-seeking-peace-of-mind-287563"},{"collectionId":287570,"title":"For the Aspiring Aficionado","hasSubCategories":false,"url":"/collection/for-the-bougielicious-287570"},{"collectionId":291903,"title":"For the Budding Cannabis Enthusiast","hasSubCategories":false,"url":"/collection/for-the-budding-cannabis-enthusiast-291903"},{"collectionId":299891,"title":"For the College Bound","hasSubCategories":false,"url":"/collection/for-the-college-bound-299891"},{"collectionId":291934,"title":"For the Exam-Season Crammer","hasSubCategories":false,"url":"/collection/for-the-exam-season-crammer-291934"},{"collectionId":301547,"title":"For the Game Day Prepper","hasSubCategories":false,"url":"/collection/big-game-day-prep-made-easy-301547"}],"navigationCollectionsLoadedStatus":"success","navigationCategories":{"books":{"0":{"data":[{"categoryId":33512,"title":"Technology","hasSubCategories":true,"url":"/category/books/technology-33512"},{"categoryId":33662,"title":"Academics & The Arts","hasSubCategories":true,"url":"/category/books/academics-the-arts-33662"},{"categoryId":33809,"title":"Home, Auto, & Hobbies","hasSubCategories":true,"url":"/category/books/home-auto-hobbies-33809"},{"categoryId":34038,"title":"Body, Mind, & Spirit","hasSubCategories":true,"url":"/category/books/body-mind-spirit-34038"},{"categoryId":34224,"title":"Business, Careers, & Money","hasSubCategories":true,"url":"/category/books/business-careers-money-34224"}],"breadcrumbs":[],"categoryTitle":"Level 0 Category","mainCategoryUrl":"/category/books/level-0-category-0"}},"articles":{"0":{"data":[{"categoryId":33512,"title":"Technology","hasSubCategories":true,"url":"/category/articles/technology-33512"},{"categoryId":33662,"title":"Academics & The Arts","hasSubCategories":true,"url":"/category/articles/academics-the-arts-33662"},{"categoryId":33809,"title":"Home, Auto, & Hobbies","hasSubCategories":true,"url":"/category/articles/home-auto-hobbies-33809"},{"categoryId":34038,"title":"Body, Mind, & Spirit","hasSubCategories":true,"url":"/category/articles/body-mind-spirit-34038"},{"categoryId":34224,"title":"Business, Careers, & Money","hasSubCategories":true,"url":"/category/articles/business-careers-money-34224"}],"breadcrumbs":[],"categoryTitle":"Level 0 Category","mainCategoryUrl":"/category/articles/level-0-category-0"}}},"navigationCategoriesLoadedStatus":"success"},"searchState":{"searchList":[],"searchStatus":"initial","relatedArticlesList":[],"relatedArticlesStatus":"initial"},"routeState":{"name":"Article3","path":"/article/academics-the-arts/math/calculus/10-quick-calculus-limit-problems-142642/","hash":"","query":{},"params":{"category1":"academics-the-arts","category2":"math","category3":"calculus","article":"10-quick-calculus-limit-problems-142642"},"fullPath":"/article/academics-the-arts/math/calculus/10-quick-calculus-limit-problems-142642/","meta":{"routeType":"article","breadcrumbInfo":{"suffix":"Articles","baseRoute":"/category/articles"},"prerenderWithAsyncData":true},"from":{"name":null,"path":"/","hash":"","query":{},"params":{},"fullPath":"/","meta":{}}},"dropsState":{"submitEmailResponse":false,"status":"initial"},"profileState":{"auth":{},"userOptions":{},"status":"success"}}

10 Quick Calculus Limit Problems

By: Mark Ryan and

Updated: 03-26-2016

Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice)

Explore Book Buy On Amazon

Limits are a key part of calculus. Quiz yourself on the following quick calculus limit problems. These limits are ones you should probably just memorize.