One of the most important concepts in calculus is the idea of limits and continuity. In Class 11 and Class 12, a combination of these topics has been extensively explored. A limit is a number that the function approaches when an independent function's variable approaches a specific value. For example, you may argue that "the limit of f(x) as x approaches 2 is 8" for a function f(x) = 4x. It's written in a symbolic way as:

Limits Example

Another prominent topic in calculus is continuity. Examining whether a pen can trace the graph of a function without taking the pen from the paper is a simple way to test for function continuity. A conceptual definition is almost adequate for pre-calculus and calculus, but a technical explanation is necessary for higher levels. Limits can help you discover a more specific approach to determining continuity.

Introduction To Limits and Continuity - Mathematics I

In this “Introduction To Limits and Continuity - Mathematics I” you will learn about the following topics:

  1. Introduction to Limits and Continuity
  2. Limit of a function
  3. Techniques of finding limits
  4. Continuity and discontinuity
  5. Demand and Profit function.



==== Point to Note ====

This article Introduction to Limits and Continuity - Mathematics I is contributed by Namrata Chaudhary, a student of Lumbini Engineering College (LEC).

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