![Calculus: Limit Example 1](https://resourcebank.ca/static/newdesign/images/materials/default-thumbnail-index.png)
This video shows Limit example 1.
- Subject:
- Calculus
- Math
- Material Type:
- Lesson
- Provider:
- Khan Academy
- Author:
- Salman Khan
- Date Added:
- 01/22/2013
This video shows Limit example 1.
This 9-minute video lesson presents some limit exercises.
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This 10-minute video lesson presents more limit examples.
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This tutorial introduces a "formal" definition of limits. So put on your ball gown and/or tuxedo to party with Mr. Epsilon Delta (no, this is not referring to a fraternity). This tends to be covered early in a traditional calculus class (right after basic limits), but we have mixed feelings about that. It is cool and rigorous, but also very "mathy" (as most rigorous things are). Don't fret if you have trouble with it the first time. If you have a basic conceptual understanding of what limits are (from the "Limits" tutorial), you're ready to start thinking about taking derivatives.
This video shows Limit properties.
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This series of videos focusing on calculus covers limit introduction, squeeze theorem, and epsilon-delta definition of limits.
Limits are the core tool that we build upon for calculus. Many times, a function can be undefined at a point, but we can think about what the function "approaches" as it gets closer and closer to that point (this is the "limit"). Other times, the function may be defined at a point, but it may approach a different limit. There are many, many times where the function value is the same as the limit at a point. Either way, this is a powerful tool as we start thinking about slope of a tangent line to a curve.
This tutorial covers much of the same material as the "Limits" tutorial, but does it with Sal's original "old school" videos. The sound, resolution or handwriting isn't as good, but some people find them more charming.
You have a basic understanding of what a limit is. Now, in this tutorial, we can explore situation where we take the limit as x approaches negative or positive infinity (and situations where the limit itself could be unbounded).
This video looks at Limits at positive and negative infinity.
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This video looks at Limits with two horizontal asymptotes.
This 13-minute video lesson looks at a concrete example using a line integral.
This 13-minute video lesson examines a line integral over a closed path (part 1).
This 10-minute video lesson provides part 2 of the example of taking a line integral over a closed path.
This series of videos focusing on calculus covers line integral of scalar and vector-valued functions, Green's Theorem and 2-D Divergence Teorem.
It is sometimes easier to take a double integral (a particular double integral as we'll see) over a region and sometimes easier to take a line integral around the boundary. Green's theorem draws the connection between the two so we can go back and forth. This tutorial proves Green's theorem and then gives a few examples of using it. If you can take line integrals through vector fields, you're ready for Mr. Green.