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Ashutosh Kumar

This is the first module (course) in the course of calculus in which we shall cover the ' Limits and Continuity '. This course will stand helpful for JEE aspirants, 11 Grade, 12 Grade.

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IIT JEE

JEE Main and Advanced Preparation

English

Course on Calculus: Module 1 - Limits and Continuity

Limits 

Calculus

Mathematics

IITJEE, NEET UG and Foundation

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Test Preparation

Limits

This is just an introduction to the Course.

An Introduction to the Course

In this first lesson of Limits and Continuity, we shall see the basic understanding of a limit through he definition of limit.

Lesson 1: Understanding of Limits

Let's see how do we find the limits. What are those basic theorems that can applied to make our life easy.

Lesson 2: Finding the Limits

What are the techniques we should apply to deal with a problem of limit? What are the indeterminate forms? Let see.

Lesson 3: Techniques for Evaluation of Limits

In this lesson we will learn the Algebraic Manipulation techniques to handle the problems of infinity by infinity form.

Lesson 4: Algabraic Manipulation

In this lesson trigonometric limits are discussed followed by some problems.

Lesson 5: Trigonometric Limits

Here is the logarithmic limits discussed. Some problems also requries series expansion. Let's see.

Lesson 6: Logarithmic Limits

This lesson discusses the exponential limit (part one). Here some basic exponential limits are covered with examples.

Lesson 7: Exponential Limits: Part 1

In this lesson we will see how to deal with the problems which is in the form of infinity to the power of infinity.

Lesson 8: Exponential Limits: Part 2

Sandwich Theorem is one of the most important tools to evaluate the limits of some 'stubborn' functions. Let's learn it.

Lesson 9: Sandwich Theorem

Sometimes series expansions are applied to evaluate limits. But how to apply. Let's learn.

Lesson 10: Some Series Expansions

The most favourite way for the students is the L'Hospital Rule. Let's see how how it works. 
The students must be familiar with differentiation before learning this rule.

Lesson 11: L' Hospital Rule

Lesson 12: Problem Solving Skills.

IIT Bombay | Taught AIR 1, 6, 20*in JEE Advanced | Taught AIR 28 (AIIMS Delhi) | Tutored INCHO AIR 60 | Mentored multiple 100 percentiles.

Sachin Rana

This course deals with entire Continuity, Differentiability and Differentiation for JEE Main, JEE Advanced, BITSAT and other engineering exams.

Continuity and Differentiation - IIT JEE

Mandhan Academy
4 crore views - Top maths teacher in India
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Akash Mandhan

This course is on the chapter limits which belongs to calculus section of Mathematics. Videos provide detailed information about limits for class 11,12 and IIT JEE entrance exam.

(Hindi) Limits

IIT-B Graduate, Mentor, Author of 5 JEE Adv Maths Series,
Kota Educator from past 16+ years, Mentor of many Top 100 Rankers in JEE Advanced.

Om Sharma

This course is strictly  for class 12 & Droppers. Om Sir has solved numerous problems based on calculus which requires depth of concepts. This course is must for students who are focused for IIT JEE advanced.

(Hindi) Problem Solving Course for Calculus: IIT JEE

A Game Changer in Mathematics, produced multiple 100 percentilers, Air 33 & 34 (Main 2024), his courses are the Benchmark for IIT JEE 

Vineet Loomba

This course covers all the concepts on limits, continuity and differentiability for JEE Main and Advanced.

(Hindi) Limits, Continuity, Differentiability for IIT-JEE (JEE Main and Advanced)

This course covers all concepts of method of differentiation namely derivative of standard functions, product rule, quotient rule, chain rule, inverse functions, logarithmic differentiation, implicit functions and advanced problems

(Hindi) Differentiation For JEE Main and Advanced

This course details all the concepts involved in finding areas under curves. This is an application of definite integral wherein integration is used to calculate areas bound by various standard and non-standard curves. In this course we aim to cover all the concepts necessary for JEE Main and Advanced and Board exams. Once this course is finished, students will face no difficulty in solving any type of problem on Applications of Integrals

Lessons

13 lessons • 2h 59m

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An Introduction to the Course

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Lesson 1: Understanding of Limits

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Lesson 2: Finding the Limits

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Lesson 3: Techniques for Evaluation of Limits

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Lesson 4: Algabraic Manipulation

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Lesson 5: Trigonometric Limits

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Lesson 6: Logarithmic Limits

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Lesson 7: Exponential Limits: Part 1

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Lesson 8: Exponential Limits: Part 2

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Lesson 9: Sandwich Theorem

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