From the course: Complete Guide to Calculus Foundations for Data Science
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What is discontinuity?
From the course: Complete Guide to Calculus Foundations for Data Science
What is discontinuity?
- [Instructor] Over the last few videos, you've heard the word discontinuous mentioned multiple times. In this video, you will focus on understanding exactly what that means. Discontinuity is when you have a function that is not continuous. Hence, when you are drawing that graph with your pen and paper, at some point when you are drawing it, the pen lifts from the paper. This causes the function to be discontinuous. As you have seen prior, there are many instances that will disqualify a function from being continuous, hence, making it discontinuous. A function is discontinuous if any of the following are true: first, if the function f of x is not defined at a point, such as f of a not being defined, next, if the limit of f of x does not exist. Another reason is if the limit of f of x does not equal f of a. And finally, if the right or left limits of f of x don't exist or don't equal each other. There are three main types of discontinuities you will come across. This includes:…
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