[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-detail-522808-en":59,"doc-seo-522808-105":80},{"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":5,"data":60},{"doc_id":61,"user_id":62,"nickname":63,"user_avatar":64,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":66,"doc_content":67,"file_id":68,"file_url":69,"file_type":70,"file_size":71,"view_count":72,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":73,"language_code":74,"site_id":75,"html_lang":74,"table_of_contents":76,"faqs":77,"seo_title":78,"seo_description":66,"update_tm":79,"read_time":24,"preview_page_count":4},522808,1099523882182,"Alex Sinclair","https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Evaluating Limits - Limits at Removable Discontinuities Trig - Worksheet 01","Worksheet for evaluating limits in trigonometry, focusing on removable discontinuities. The exercises ask students to compute several limit expressions involving sine, cosine, tangent, and compositions such as sin(4x), cos(π/2−x), and sin^2(2x), with limits taken as x approaches 0. Items are presented as numbered problems with blank answer areas, supporting practice and assessment of limit evaluation skills using standard trig limit techniques. ","Kuta Software-Infinite Calculus Name   \nEvaluating Limits Date  Period   \nEvaluate each limit.  \n1 − sin (~~ ~~π2~~ ~~ − x) cos (~~ ~~π2 − x)  \n1) lim ~~ ~~ 2) lim ~~ ~~  \nx→ 0 x x→ 0 x  \ntan (x) sin (x)  \n3) lim ~~ ~~ 4) lim ~~ ~~  \nx→ 0 3x x→ 0 sin (4x)  \n1 − cos (2x) sin 2 (2x)  \n5) lim ~~ ~~ 6) lim ~~ ~~  \nx→ 0 4x x→ 0 2  \nx  \nKuta Software-Infinite Calculus Name   \nEvaluating Limits Date  Period   \nEvaluate each limit.  \n1 − sin (~~ ~~π2~~ ~~ − x)  \n1) lim ~~ ~~  \nx→ 0 x  \n0  \ntan (x)  \n3) lim ~~  ~~x→ 0 3x  \n 1  \n3  \n1 − cos (2x)  \n5) lim ~~  ~~x→ 0 4x  \n0  \ncos (~~ ~~π2 − x)  \n2) lim ~~ ~~  \nx→ 0 x  \n1  \nsin (x)  \n4) lim ~~  ~~x→ 0 sin (4x)  \n 1  \n4  \nsin 2 (2x)  \n6) lim ~~  ~~x→ 0 2  \nx  \n4  \nCreate your own worksheets like this one with Infinite Calculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCairJdqDHP9aNk","https://ap.wps.com/l/cbCairJdqDHP9aNk","pdf",22077,12,"English","en",105,"# Evaluate each limit\n## Limits involving sin, cos, tan\n## Limits with trig transformations","[{\"question\":\"What is the main topic of this worksheet?\",\"answer\":\"It practices evaluating trigonometric limits, with expressions designed around removable discontinuities as x approaches 0.\"},{\"question\":\"What types of trigonometric functions appear in the problems?\",\"answer\":\"The worksheet uses sine, cosine, tangent, and related forms such as sin(4x) and cos(π/2−x).\"},{\"question\":\"How are the limits specified in the exercises?\",\"answer\":\"Each problem asks for the limit as x approaches 0, with the function expression written in terms of x.\"}]","Evaluating Limits - Limits at Removable Discontinuities Trig - Worksheet 01 | PDF",1791426192,{"code":4,"msg":81,"data":82},"ok",{"site_id":75,"language":74,"slug":83,"title":65,"keywords":84,"description":66,"schema_data":85,"social_meta":139,"head_meta":141,"extra_data":143,"updated_unix":144},"evaluating-limits-limits-at-removable-discontinuities-trig-worksheet-01","",{"@graph":86,"@context":138},[87,101,121],{"@type":88,"itemListElement":89},"BreadcrumbList",[90,94,96,99],{"item":91,"name":92,"@type":93,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":95,"name":9,"@type":93,"position":14},"https://docshare.wps.com/document/",{"item":97,"name":20,"@type":93,"position":98},"https://docshare.wps.com/document/exam/",3,{"item":100,"name":65,"@type":93,"position":19},"https://docshare.wps.com/document/evaluating-limits-limits-at-removable-discontinuities-trig-worksheet-01/522808/",{"url":100,"name":65,"@type":102,"image":103,"author":108,"headline":65,"publisher":110,"fileFormat":113,"inLanguage":74,"description":66,"dateModified":114,"datePublished":115,"encodingFormat":113,"isAccessibleForFree":116,"interactionStatistic":117},"DigitalDocument",{"url":104,"@type":105,"width":106,"height":107},"https://docshare.wps.com/thumbnails/evaluating-limits-limits-at-removable-discontinuities-trig-worksheet-01/522808.png","ImageObject",300,407,{"name":63,"@type":109},"Person",{"url":91,"name":111,"@type":112},"DocShare","Organization","application/pdf","2026-11-11","2026-10-08",true,{"@type":118,"interactionType":119,"userInteractionCount":72},"InteractionCounter",{"@type":120},"ViewAction",{"@type":122,"mainEntity":123},"FAQPage",[124,130,134],{"name":125,"@type":126,"acceptedAnswer":127},"What is the main topic of this worksheet?","Question",{"text":128,"@type":129},"It practices evaluating trigonometric limits, with expressions designed around removable discontinuities as x approaches 0.","Answer",{"name":131,"@type":126,"acceptedAnswer":132},"What types of trigonometric functions appear in the problems?",{"text":133,"@type":129},"The worksheet uses sine, cosine, tangent, and related forms such as sin(4x) and cos(π/2−x).",{"name":135,"@type":126,"acceptedAnswer":136},"How are the limits specified in the exercises?",{"text":137,"@type":129},"Each problem asks for the limit as x approaches 0, with the function expression written in terms of x.","https://schema.org",{"og:url":100,"og:type":140,"og:title":65,"og:site_name":111,"og:description":66},"article",{"robots":142,"canonical":100},"index,follow",{"doc_id":61,"site_id":75},1791488396]