Limits, Continuity and Differentiability Class 12 Maths | JEE Main 2021 Questions | JEE 2022 Exam

🚀✍️ Download Chapter-wise Session Notes, FREE DPPs & Chapter Test PDFs Now⬇️ ✅ JEE Class 11 AIM Batch: https://bit.ly/3CsL0CX ✅ JEE Class 12 Excel Batch: https://bit.ly/3VlSxfz ✅ JEE Ranker's Batch: https://bit.ly/3EDhj4R "In this session, Bhoomika Rohra Ma'am will be solving JEE Main 2021 Maths Questions with Solutions. In this series """"Paper Analysis with Experts"""" our top educators will be solving BEST PYQs of JEE Main 2021. Today's session will cover Important questions from the topic Limits, Continuity and Differentiability. The Questions will be distributed Concept wise. Today, we will be covering Questions related to Standard Limits, Conditions for Continuity and Differentiability and much more. 👉 Subscribe to "Aakash BYJU'S JEE" Channel: https://www.youtube.com/channel/UC82ObtDCmUuWwrWhpQsX-HQ?sub_confirmation=1 👉 Follow us on Telegram for all the latest updates: https://t.me/JEEAakash 👉 Call us for JEE Courses related Queries: 🤙 8800839147 👉 Submit your details for JEE Coaching related Queries: https://bit.ly/3M0wrcX 👉 Install Aakash BYJU'S App for JEE Exam Preparation: https://byjus-aakash.onelink.me/GieR/youtubejee 👉 JEE Preparation Latest Videos Playlist: https://www.youtube.com/playlist?list=PLDnXxcwgchDNMq4IXqaPLBR0IPQ3ydbAf 👉 JEE Mathematics Preparation Latest Videos Playlist: https://www.youtube.com/playlist?list=PLDnXxcwgchDPg_APmhyEpuimbgaa19fLb 👉 JEE Physics Preparation Latest Videos Playlist: https://www.youtube.com/playlist?list=PLDnXxcwgchDP2FyZNtQnByeaUFtk5ToCf 👉 JEE Chemistry Preparation Latest Videos Playlist: https://www.youtube.com/playlist?list=PLDnXxcwgchDP11dNdpnqISFyZKH5oN4iZ 0:00 JEE MAIN 2021 IMPORTANT QUESTIONS - Calculus Part 2 - Limits, Continuity & Differentiability 1:22 Table of Contents 2:21 Concept 1 - Indeterminate Forms 2:20 Explanation of Indeterminate Forms 5:26 Question 1 - If limx(x2-x+1-ax)=b, then the ordered pair (a, b) is 5:27 Explanation of Question 1 13:39 Concept 2 - Most Important Limits 16:59 Question 2 - If limxax-(e4x-1)ax(e4x-1) exists and is equal to b, then the value of a-2b is ______. 17:00 Explanation of Question 2 22:09 Question 3 - Let f(x) be a differentiable function at x = a with f'(a)=2 and f(a)=4. Then limxax(a)-af(x)x-a equals: 22:10 Explanation of Question 3 24:00 Question 4 - If the value of limx0(2-cos xcos 2x)x+2x2 is equal to ea, then a is equal to ______. 30:32 Concept 3 - Standard Expansions and Standard Limits 30:37 Explanation of Standard Limits 32:33 Standard Expansions 32:34 Explanation of Standard Expansions 33:31 Question 5 - If , are the distinct roots of x2+bx+c=0, then 33:32 Explanation of Question 5 42:31 Question 6 - limx0sin2( cos4x)x4 is equal to: 42:32 Explanation of Question 6 48:23 Question 7 - The value of limx0x81-sin x-81+sin x is equal to : 48:24 Explanation of Question 7 54:58 Concept 4 - Continuity of a Function 55:01 Explanation of Continuity of a Function 57:38 Question 8 - Let f:RR be defined as f(x)= 57:39 Explanation of Question 8 1:01:52 Question 9 - Let f:RR be function defined as f(x)= 1:01:53 Explanation of Question 9 1:06:47 Question 10 - Let f:RR be defined as f(x)= 1:06:48 Explanation of Question 10 1:06:47 Question 11 - Let f:RR be defined as f(x)= 1:06:48 Explanation of Question 11 1:12:38 Greatest Integer Function 1:13:29 Concept 6 - Differentiability of a Function 1:13:34 Explanation of Differentiability of a Function 1:16:56 Question 12 - Let the functions f:RR and g:RR be defined as: 1:16:57 Explanation of Question 12 1:26:29 Question 13 - Let f(x)=15-|x-10|, xR. 1:35:19 Question 14 - Let f(x)= 1:43:24 Concept 6 - Relation between Continuity and Differentiability 1:43:27 Explanation of Relation between Continuity and Differentiability 1:44:25 Question 15 - If f(x)= 1:48:34 JEE Main 2021 Important Questions - Physics - Upcoming Session! #AakashBYJUS #AakashBYJUSJEE #BYJUSJEE #LimitsandContinuity #ContinuityandDifferentiability #Class12Maths #JEEMaths #JEE2022 #JEEMain #JEE #JEEMain2022 #JEEExam #JEEPreparations #JEEMain2021 #JEEMain2021Questions #JEEQuestions #JEEMainMaths #BYJUS #JEEStrategy #JEEAdvanced