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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:
Finding limits visually

 


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:
One-sided limit example 1

 


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:
One-sided limit example 1

 


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:
One-sided limit example of a Vertical Asymptote

 


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: 
One-sided limit example of a Piecewise Function

 


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:
One-sided Limit Applied Example