### 1.3 One-Sided Limits

1: One-Sided Limit Introduction and Visuals

This video includes:

*Review of the definition of a limit and when a limit 'DNE' does not exist

*Definition of a one-sided limit and how it compares to a limit in general

*How to find one-sided limits visually by given a graph

*How one-sided limits can also be called a left limit or right limit

*How students make a frequent mistake of misplacing the negative sign

Examples:

2: Computational Techniques to Finding One-Sided Limits

This video includes:

*Review of the definition of a one-sided limit

*Review of the computational techniques of finite limits

*How the computational techniques of finite limits can be adjusted to find one-sided limits

*How students make a frequent mistake of misplacing the negative sign

*How you can use the graph to check the answer of your computational technique

*How one-sided limits can actually be the same as finite limits

Examples:

3: Using Computational Techniques of One-Sided Limits to Find a Rational Radical Limit

This video includes:

*Review of the computational techniques of one-sided limits

*Review of how one-sided limits can actually be the same as finite limits

Example:

4: Using Computational Techniques of One-Sided Limits of a Vertical Asymptote

This video includes:

*Review of the computational techniques of one-sided limits

*Review of what the finite limit of a vertical asymptote is

*How the finite, left, and right limit can all be unique answers

*How you can use the graph to check the answer of your computational technique

Example:

5: Using Computational Techniques to Find a One-Sided Limit in a Piecewise Function

This video covers:

*Review of what a piecewise function is and how to evaluate and graph it

*Review of the computational techniques of one-sided limits

*How the one-sided limits will help you find the finite limit

*How you can use the graph to check the answer of your computational technique

Example:

6: Applied Example of One-Sided Limits

This video includes:

*How interpreting the variables in an applied problem can help solve the question at hand

*Review of the steps to graph a rational function, including how many parts to the graph there should be, and using the graphing calculator to check

*Review of the computational techniques of one-sided limits

*Reminder to label all answers in an applied example

Examples: