From the course: Complete Guide to Calculus Foundations for Data Science
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One-sided limits
From the course: Complete Guide to Calculus Foundations for Data Science
One-sided limits
- [Instructor] Now that you've learned what a limit is, let's take a step back and learn what a one-sided limit is. In this video, you'll learn what one-sided limits are and how they relate and differ from your regular two-sided limits. One-sided limits are what you calculate when you want to determine the limit of a function from just one direction. This will either be from the left or the right direction. In this case, you are only focused on the limit from that one direction and you don't care what it would be or not from the other direction. Let's take a look at the left limit first. Left limits are used to define the value that a function f of x approaches as the input approaches a defined point a from the left. This is denoted with the following equation where the limit as x approaches a from the left of f of x equals L. In this case, the left limit is denoted by the little minus sign above your value a. This means as your value x gets arbitrarily close to a, the value of your…
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