[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-451865-105":59,"doc-detail-451865-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","bc-calculus-unit-1-test-review-limits","BC Calculus - Unit 1 Test Review - Limits","","Practice and assessment worksheet for BC Calculus Unit 1 focused on limits and continuity. Problems cover evaluating limits, determining whether limits exist, and analyzing discontinuities by identifying removable, nonremovable, and infinite types with locations. Additional tasks include using continuity conditions to justify continuity or discontinuity, finding parameter values that make a piecewise function continuous, and sketching function graphs from limit and point conditions.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/bc-calculus-unit-1-test-review-limits/451865/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/bc-calculus-unit-1-test-review-limits/451865.png","ImageObject",300,407,{"name":92,"@type":93},"Patrick","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-19","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you evaluate a limit in these problems?","Question",{"text":112,"@type":113},"Compute the limit value when approaching the target x-value; if the expressions from left and right sides do not match or blow up, the limit may not exist.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What discontinuity types are addressed?",{"text":117,"@type":113},"The worksheet asks to identify removable vs nonremovable discontinuities and also discontinuities involving infinite behavior, and to state where they occur.",{"name":119,"@type":110,"acceptedAnswer":120},"How can parameter values be found to make a piecewise function continuous?",{"text":121,"@type":113},"Set the piecewise expressions equal at the problematic x-value and apply continuity conditions so the left-hand value, right-hand value, and the function value agree.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},451865,1791090659,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":46,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":31},549758146520,"https://ap-avatar.wpscdn.com/avatar/80002397d8c0411e94?_k=1775819394049821470","BC Calculus -Unit 1 Test Review(Limits)  \nEvaluate the Limit  \n1)  \n3)4)  \n5)6)  \n7)  \n9)Let g and h be the functions defined ba function that satisfies g(x)≤f(x)≤h(x)for allx,what is  \n1S  \n10)Let f be the function defined by.For what value of b is f continuous at x=-6?(support answer with continuity con  \nGive the value of each statement.If the value does not exist,write“does not exis”or“undefined.”  \n11.15.  \n12.16.  \n13.f(3)=17.f(1)=  \n14.f(-2)=18  \n20),identify the type of each discontinuity and where it is located.  \n22)  \nFind the following:  \n\n|  |  | ⑦   |\n| --- | --- | --- |\n|  | ①   | f)  \u003Cbr>广   |\n| 9)   | h   |  |\n\n23)On the coordinate plane below,sketch a function graph with the following characteristics:  \n94  \na.lim f(x)=8  \n8  \n7  \nb.f(-6)=-3  \n6  \n5  \nc.xim f(x)=4  \n4+  \n3+  \nd.lim₂f(x)=  \n-2  \n-1  \ne.f(3)=7  \n12  \n3  \n4  5  \n7  \n8  \n9 -8 -7 -6 -5 -4-3 -2 -1  \n9  \n6  \n-1  \nf.limf(x)does not exist  \n-2  \n-3  \n8.xim f(x)=5  \n-4  \n-5  \n-6+  \nh.Limf(x)=-  \n-7  \n-8  \n-9V  \n24)Find the value of k which makes the following piecewise function continuous for all valuesof x.(Use continuity conditions to justify)  \nb)Find c-value  \nBC Calculus-Unit 1 Test Review(Limits)  \n   \nEvaluate the Limit  \ntest x=-3、1  \n安十estx=1.  \n在和疾  \na function that satisfies g(x)≤f(x)≤h(x)for allx,what  \n.For wht value ofb is f continuous at x=-6?(support answer with continuity conditions)  \nGive thevatuc of each statement.Ifthe value does not/exist write\"does uotcx5势  \n   \n17.  \n18.  \nfnd te folowing a f(x)=  \nb.limf(x)=  \nd the following:  \n经感原  \n23)On the coordinate plane below,sketch a function graph with the following characteristics:a  \nb.f(-6)=-3  \nC.  \nd.  \ne.f(3)=7  \ng.  \nh.  \n工响置说摩主墙能他将一  \ni)f(-2)=2(-2)+K→-4+k  \n# Limits-Piecewlse\n\nPractiue Problem  \n端×c-4  \nf(x)=  \nX+3 -4≤×∠3  \n×5 ×≥3  \n-m。)  \n()  \nC)lim  \n)  \n(x)  \n()  \n3×946)  \n4)  \n# Piecguyse poblems\n\nLimits  \nUse contnuiHy condihonr  \nt olelermined:conthnuoys.  \nIf clszonfinuzus,oletemlne  \nif.removiblk/nomremoviBle  \n2)了,x24  \n×+1×\u003CL  \n(小  \n(4)>fk)=-1QimfK)12)G2.FA)=%902963 L“4f×)=DNEe)lim4)242-6))+6)6)-mk)×23×-5×+3 4≤x∠34,×\u003C-4Practie ProblemLimi+s-Piecawise  \n6(-4)=E  \nUse cont'ouihy con&ifons.  \n龙 olefermined cmtinuous.  \nIf clszanfinuous,oleteamine  \n1if.removub&/nomremouuBle  \n    ()了,x24  \n×\u003C2  \n3)2604  \n(-3=1   \nQimx²-3=13  \nY+4  \nSmef6>)+e2+f\u003C)  \n×+4-+L×)= DNE  \noremovoee  esinmic   \nt x=4  \nat x=一1emaee erenyii)6)+Limf(×)3)i)fe)=3  \n/  \n# Chapter 1 Limits Review\n\nName:  \n   \n1.  \nFind the following:  \n\n| a)   | b)   | c)   |\n| --- | --- | --- |\n| d)   | ①   |  |\n| 9)   |  |  |\n\nUse Continuity conditions to justify whether f(x)is continuous or discontinuous,If discontinuous,  \nidentify type of discontinuity  \n3)Find thek value that will make the function f(x)continuous.  \nPASTAPFREE-RESPONSE PROBLEMS COVERED BYTHIS CHAPTER  \nAP Calculus ABChapter 1 Limits ReviewRnt doe nt dxist afx=3sinNonremoval& lscmtihuitflimf(x)=DNESine -9k)lcifCck)  \n   \nNote:These and other questions can be found atapdentral.com.2003AB 6a2006 BC 3c2008.AB 6d  \nFind the following:identify type of discontinuity  \n# MULTPLE-CHOICEQUESTONS\n\n   \n\n| т,9(2) —  \u003Cbr>5   | 2×+5=7  \u003Cbr>贸马   |  |\n| --- | --- | --- |\n| n26  \u003Cbr>limg(x)=   | 5-2-1=91.   |  |\n| 9   | =⑩   |  |\n\nA calculator may not beused on the folowing questions.  \n1 Evaluate th imit,ftexists:1  \n(A)5  \nmit does not eist.  \n2.Evaluate fhe limit,rfit(C)1(D)0  \nо о о ое ое ое ое  \nE)The limit does not exist.  \n差  \n3.Evaluate the imit,ifit exists:]  \n(C1  \n(D)-1  \nEJ The limit does notecdist  \n3)Find the kvalue that will make the function f{x)continuous","cbCaigTOXctxiH1x","https://ap.wps.com/l/cbCaigTOXctxiH1x","pdf",1211486,"English","# Evaluate the Limit\n## Continuity and Discontinuity\n## Use Continuity Conditions to Find Parameters\n## Sketch Function Graphs from Limit Conditions\n# Multiple-Choice Questions","[{\"question\":\"How do you evaluate a limit in these problems?\",\"answer\":\"Compute the limit value when approaching the target x-value; if the expressions from left and right sides do not match or blow up, the limit may not exist.\"},{\"question\":\"What discontinuity types are addressed?\",\"answer\":\"The worksheet asks to identify removable vs nonremovable discontinuities and also discontinuities involving infinite behavior, and to state where they occur.\"},{\"question\":\"How can parameter values be found to make a piecewise function continuous?\",\"answer\":\"Set the piecewise expressions equal at the problematic x-value and apply continuity conditions so the left-hand value, right-hand value, and the function value agree.\"}]","BC Calculus - Unit 1 Test Review - Limits | PDF",1790736075]