Limits, Class 11 and 12, Maths, How to Solve, Definition, Examples and Solutions PDF - Calculus

This video explains: What is a limit? What is continuity? Limits, which have an important role in calculus, as they are used in differentiation, integration, sequences and series. They can be evaluated using algebra, trigonometric formulas, graphs and tables (numerically). Every topic is covered concisely, including their applications to asymptotes, continuity (unbroken graphs, undefined points) and the intermediate value theorem for proving roots exist, using plenty of example problems and walkthrough solutions.

📌 Worksheets are provided in PDF format to further improve your understanding:

- Questions Worksheet: https://drive.google.com/file/d/1IfdCaeJTszq4Is48tDhUUxlMd-w9Eltx/view?usp=drive_link
- Answers: https://drive.google.com/file/d/11PKq7Z-aEJQOqR_xbqFdAEQdQH4JjKnu/view?usp=drive_link

📌 Chapters on What You’ll Learn:

00:00 Why limits? Change at an instant.
01:08 Definition of a limit
01:57 Evaluate limits using graphs
03:27 Evaluate limits numerically using tables
04:39 Algebraic properties of limits
06:11 Evaluating limits using algebra
08:09 Examples on selecting methods for evaluating limits
13:24 Squeeze theorem
17:01 Examples on connecting representations of limits
19:54 Types of discontinuities, with examples
24:20 Continuity definition and test at a point, with examples
28:10 Continuity over an interval, with example
30:49 Removing discontinuities, with example
33:37 Connecting limits and vertical asymptotes
34:36 Connecting infinite limits and horizontal asymptotes
35:28 Determine the relative magnitudes of functions using limits
36:49 Intermediate value theorem, with examples

📌 Perfect for calculus students and exam preparation, this tutorial uses plenty of examples and easy-to-follow explanations.

👉 Make sure to check out our full playlist on Calculus 1 and 2, which covers differentiation, integration, sequences and series and their applications!

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