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Tasks include evaluating limits when they exist or do not exist, determining continuity at specific x-values, and identifying the type of discontinuity when a function is not continuous. Additional items ask for horizontal and vertical asymptotes, using continuity conditions to find parameters that make a function continuous, and applying intermediate-value reasoning on a closed interval with a given function table.",{"@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/ap-calculus-ab-chapter-1-limits-review/459807/",{"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/ap-calculus-ab-chapter-1-limits-review/459807.png","ImageObject",300,407,{"name":92,"@type":93},"mieayamfan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine whether f(x) is continuous at a given x-value?","Question",{"text":112,"@type":113},"Use continuity conditions to check whether the limit behavior matches the function value at that x. If the conditions fail, the function is discontinuous and you identify the discontinuity type.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of questions ask you to justify continuity using parameters?",{"text":117,"@type":113},"Problems that request the k or A/B values typically require choosing constants so the function’s limit structure agrees with continuity at a specified point.",{"name":119,"@type":110,"acceptedAnswer":120},"What asymptotes-related topics are covered in this limits review?",{"text":121,"@type":113},"The packet includes questions to identify horizontal asymptotes and to determine whether lines such as x=3 or x=5 and x=-5 act as vertical asymptotes, along with justification.","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},459807,1790756940,{"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":8,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":129,"read_time":144,"preview_page_count":4},962090893677,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Name:  \n   \n1.  \nFind the following:  \n\n| a)   | b)   | ⑦   |\n| --- | --- | --- |\n| d)   | e)   |  |\n| g.   | h)   |  |\n\nUse Continuity conditions to justify whether f(x)is continuous or discontinuous.If discontinuous,  \nidentify type of discontinuity  \n3)Find the k value that will make the function f(x)continuous  \nLIMTSAND THiaL PROPERTE5·53  \n50 CHAPTER1  \ncontinuous at x=-3?(A)4)  \n# PASTAPFRE-RESPONSEPROBLEMS COVEREDBYTHS CHAPIER,\n\n   \nNote:These and other questions can be found atapcentral.com2003 AB 6a2006 BC 3c2008AB 6d  \nB)  \n{C)[D)[E)  \n# MULTIPLE-CHOICEQUESTIONS\n\nA calculator maynot be used on the folowing cuestions.  \n(A)5  \nG-3  \n②The imit des ot exist  \n3  \n(B)C1  \nE)The llmit does not exist.  \nThe function gwais shown in the graph above and is of the form.Which of the following could be the values of theconstants &andb?(A)a=-2,b=-1(B)a=-2;b=-3(C)a=-4,b=35)  \n(A)  \n(B)  \nD),a=-4,b=-3(E)a=4,b=3  \n(C)1  \n(D)-1  \n(E)The ihnit does not exist.  \n(B)x=-2·6  \n(C)x=1  \nDy=-2,y=1  \n(E)y=-2  \n# AP Calculus ABChapter 1Limits Review\n\nFind the following:identify type of discontinuity  \n|  |  |  |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n\nИзе Сопнпийу сопсШйопэ Еоуияйу уЛетпегЦхУБ солйпиоиє огсТзсопНпиоиз сзсопЕпиои,  \n# PASTAPFREE-RESPONSE PROBLEMS COVERED BYTHISCHAPTER\n\n   \nNote:These and other questions can be found atapcentralcom.2003AB 6a2006 BC3c2008AB6d  \n# MULTIPLE-CHOICEQUESTIONS\n\n   \nA calcnlator may not be used on the following questions.  \n1.Evaluate the limit,itit exists:  \nnit does not exist.  \n2.Evaluate the limt,fitexists:  \n{C)1  \n(D)0  \n(E The limit does not exist.  \n3.Evaluate the nimit,ft exists:im  \n(D)-1  \n(E)The limit does not exist.  \nLIMTSAND THER PRORERTES分53  \n4)i)f(3]=大continuous at x=-  \n(C)0  \n×-in+:(-2,0)(2,0)V.A:x=-1,x={三。年bײ-3=0:u大×z1,x==1  \nx  \n6(0)²-3=06=3  \nThe fumction gcx)i shownin the graph above and is of the form.Which of the following could be the values oftheconstants a andb?(A)a=-2,b=-1(E).a=4,b=3  \n6  \nD)y=-2,y=1(E)y=-2  \nChapter 1 Limits Review WS\\#2  \nName:  \n   \nFind the following:  \n1.  \n\n|  | b)   | c)   |\n| --- | --- | --- |\n| d)   | e)   |  |\n| 9)   |  |  |\n\nUse Continuity conditions to justify whether f(x)is continuous or discontinuous.If discontinuous,identify  \ntype of discontinuity  \n3)Find the horizontal asymptote(s)of  \nWhich of the following is true?(Circle all that apply)  \nII.fis continuous atx=3  \nIII.The line x=3 is a vertical asymptote:  \na)Are the linesx=5 andx=-5 vertical asymptotes?Justify answer  \nb)Identify all horizontal asymptotes.Justify answer  \nc)Is there a value of A that makes f continuous atx=5?  \nd)Is there a value of B that makesf continuous atx=-5  \n\n| X   | 1   | 3   | 5   | 8   |\n| --- | --- | --- | --- | --- |\n| f(x)   | -2   | 4   | 10   | 6   |\n\n7.Iffis continuous on[1,8]and some values offare given in the table above,which of the following must be true?   Circle  \nall that apply.  \n1.fx)=-3 has a solution-in [1,8]11.f(x)=0 hasasolutionin [1;8].i1.f(x)=9 has a:solution.in-[1,8]  \n)×m6(x)=8(x)=2Cix)3h0)=2 以xh的=4)= 1 入=一4存从以=-x=-4)2m Ak)=0NEFn ae    a    \n\n|  |  |  |  |  |  |  |  |  | 10   |  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  | 8   |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 6   |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 4   |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 2   |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 0L   |  | 8   | -   | 6   |  | 4   | -   | 2   |  |  | 2   |  |  |  |  | 6   |  | 8   | 1   |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | ","cbCaikHBlelioXZW","https://ap.wps.com/l/cbCaikHBlelioXZW","pdf",2078785,26,"English","# Find the following\n## Continuity and discontinuity\n# Multiple-choice questions\n## Limits that exist vs do not exist\n## Parameters for continuity\n## Vertical and horizontal asymptotes\n## Continuity on an interval (table-based reasoning)","[{\"question\":\"How do you determine whether f(x) is continuous at a given x-value?\",\"answer\":\"Use continuity conditions to check whether the limit behavior matches the function value at that x. If the conditions fail, the function is discontinuous and you identify the discontinuity type.\"},{\"question\":\"What types of questions ask you to justify continuity using parameters?\",\"answer\":\"Problems that request the k or A/B values typically require choosing constants so the function’s limit structure agrees with continuity at a specified point.\"},{\"question\":\"What asymptotes-related topics are covered in this limits review?\",\"answer\":\"The packet includes questions to identify horizontal asymptotes and to determine whether lines such as x=3 or x=5 and x=-5 act as vertical asymptotes, along with justification.\"}]","AP Calculus AB Chapter 1 Limits Review | PDF",66]