{"id":28169,"date":"2022-01-31T19:43:40","date_gmt":"2022-01-31T14:13:40","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=28169"},"modified":"2025-06-05T11:23:53","modified_gmt":"2025-06-05T05:53:53","slug":"limits-and-derivatives-class-11-notes-maths-chapter-13","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-11\/maths\/limits-and-derivatives-class-11-notes-maths-chapter-13\/","title":{"rendered":"Limits and Derivatives Class 11 Notes Maths Chapter 13"},"content":{"rendered":"<h2>CBSE Class 11 Maths Notes Chapter 13 Limits and Derivatives<\/h2>\n<p><strong>Limit<\/strong><br \/>\nLet y = f(x) be a function of x. If at x = a, f(x) takes indeterminate form, then we consider the values of the function which is very near to a. If these value tend to a definite unique number as x tends to a, then the unique number so obtained is called the limit of f(x) at x = a and we write it as \\(\\lim _{ x\\rightarrow a }{ f(x) }\\).<\/p>\n<p><strong>Left Hand and Right-Hand Limits<\/strong><br \/>\nIf values of the function at the point which are very near to a on the left tends to a definite unique number as x tends to a, then the unique number so obtained is called the left-hand limit of f(x) at x = a, we write it as<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47107278884_d66fc84ec1_o.png\" alt=\"Limits and Derivatives Class 11 Notes Maths Chapter 13 1\" width=\"246\" height=\"95\" \/><\/p>\n<p><strong>Existence of Limit<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/46980530205_3f82f51abf_o.png\" alt=\"Limits and Derivatives Class 11 Notes Maths Chapter 13 2\" width=\"286\" height=\"102\" \/><\/p>\n<p><strong>Some Properties of Limits<\/strong><br \/>\nLet f and g be two functions such that both \\(\\lim _{ x\\rightarrow a }{ f(x) }\\) and lim \\(\\lim _{ x\\rightarrow a }{ g(x) }\\) exists, then<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47107278814_5c4c9024ea_o.png\" alt=\"Limits and Derivatives Class 11 Notes Maths Chapter 13 3\" width=\"302\" height=\"172\" \/><\/p>\n<p><strong>Some Standard Limits<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/46980530055_24e464a90f_o.png\" alt=\"Limits and Derivatives Class 11 Notes Maths Chapter 13 4\" width=\"189\" height=\"189\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47107278724_922ebdc063_o.png\" alt=\"Limits and Derivatives Class 11 Notes Maths Chapter 13 5\" width=\"162\" height=\"88\" \/><\/p>\n<p><strong>Derivatives<\/strong><br \/>\nSuppose f is a real-valued function, then<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/46980529965_d5a64751cc_o.png\" alt=\"Limits and Derivatives Class 11 Notes Maths Chapter 13 6\" width=\"402\" height=\"89\" \/><\/p>\n<p><strong>Fundamental Derivative Rules of Function<\/strong><br \/>\nLet f and g be two functions such that their derivatives are defined in a common domain, then<br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/46980529895_3f2b8a5eea_o.png\" alt=\"Limits and Derivatives Class 11 Notes Maths Chapter 13 7\" width=\"368\" height=\"206\" \/><\/p>\n<p><strong>Some Standard Derivatives<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2021\/12\/47896608851_aca5eb175d_o.png\" alt=\"Limits and Derivatives Class 11 Notes Maths Chapter 13 8\" width=\"254\" height=\"423\" \/><\/p>\n<div class=\"featured-snippet\"><\/div>\n<h5><\/h5>\n","protected":false},"excerpt":{"rendered":"<p>CBSE Class 11 Maths Notes Chapter 13 Limits and Derivatives Limit Let y = f(x) be a function of x. [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Limits and Derivatives","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Get Limits and Derivatives Class 11 Notes Maths Chapter 13 on Infinity Learn.","custom_permalink":"study-material\/cbse-notes\/class-11\/maths\/limits-and-derivatives-class-11-notes-maths-chapter-13\/"},"categories":[92,13,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Limits and Derivatives Class 11 Notes Maths Chapter 13 - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Get Limits and Derivatives Class 11 Notes Maths Chapter 13 on Infinity Learn.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/cbse-notes\/class-11\/maths\/limits-and-derivatives-class-11-notes-maths-chapter-13\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Limits and Derivatives Class 11 Notes Maths Chapter 13 - 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