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:
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.
In this “Introduction To Limits and Continuity - Mathematics I” you will learn about the following topics:
- Introduction to Limits and Continuity
- Limit of a function
- Techniques of finding limits
- Continuity and discontinuity
- 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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2 Comments
Ur notes r too helpful for my bca exam preparation
ReplyDeleteThank you a lot😊
Highly appreciated.
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