Students investigate limits and continuity of functions. In this limits and continuity of functions lesson, students find the limit as a function approaches a given value. Students find the domain of functions.
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Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
11th - 12th Math CCSS: Adaptable
How to Find the One-sided Limits of a Function
Do one-sided limits require only half the work? The video teaches scholars how to find one-side limits from a graph. It covers an example where the one-sided limits give the general limit and an example where one of the one-sided limits...
9 mins 11th - Higher Ed Math
How to Prove that the Limit Does Not Exist
Can you prove a negative? In watching the video, individuals learn how to prove that the limit of a function does not exist at a point. The video covers the quintessential example of the limit of f(x) = abs(x)/x as x approaches 0.
6 mins 11th - Higher Ed Math
Limits | Essence of Calculus, Chapter 7
There's no limit on the importance of the limit in calculus. Scholars learn the formal definition of derivative and the epsilon-delta definition of limit by watching a video. They also listen to an explanation of l'Hospital's Rule.
18 mins 11th - Higher Ed Math