This video looks at intuitively drawing the antiderivative of a function.
This video covers intuitively drawing the derivative of a function.
This video considers if the power rule reasonable.
Tis 8-minute video lesson demonstrate's an example of L'Hopital's Rule.
This 5-minute video lesson provdes a second example of L'Hopital's Rule.
This 8-minute video lesson provides a third example of L'Hopital's Rule.
This video shows Limit example 1.
This 9-minute video lesson presents some limit exercises.
This 7-minute video lesson presents more limit examples.
This 10-minute video lesson presents more limit examples.
This 15-minute video lesson looks at 3 interesting limit examples.
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.
This video looks at the Limit at a point of discontinuity.
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.
This video looks at Limits to define continuity.