Limits: A Visual Approach
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Lesson Summary:
In this first semester calculus video, Professor Perez provides a visual approach to understanding limits using a piecewise function. Through examples, he shows how to evaluate one-sided and two-sided limits and explains the relationship between them. He also discusses the importance of the domain of a function in determining its limit and demonstrates how to find the limit as x approaches positive and negative infinity. This lesson is a helpful resource for anyone struggling to grasp the concept of limits.
Lesson Description:
First semester calculus video on limits
Created by and copyright of Larry Perez. Funded by the state of California through Saddleback College. More information on videos, resources, and lessons at Algebra2Go.
Questions answered by this video:
- What is a piece-wise function?
- How do you find limits of a piece-wise function?
- What is a one-sided limit?
- What is a two-sided limit?
- How do you find the limit of a piece-wise function as x approaches a value from one side?
- How can a limit be different when approaching from the left and right side?
- When does a two-sided limit exist at a value?
- When does a limit equal infinity or negative infinity?
- What is end-behavior of a function?
- What is a horizontal asymptote?
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Staff Review
This lesson does a great job of introducing you to the concept of limits visually. The idea of limits existing or not existing for a value are explained. Several different types of limits are discussed in a piece-wise function that has many different types of behavior at different points. This is a must-watch if you are just learning about limits.
