# vertical asymptotes   5 videos

• #### Infinite Limits; Vertical Asymptotes

##### CalculusLimits and Continuity

How to use one-sided limits to find a vertical asymptote.

one sided limits infinity limit does not exist rational functions left hand limit right hand limit table of values numerical approach vertical asymptote
• #### Relative Maxima and Minima

##### CalculusApplications of the Derivative

How to use one-sided limits to find a vertical asymptote.

• #### Limits and End Behavior

##### CalculusLimits and Continuity

How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.

limits rational functions limit at infinity limit at negative infinity horizontal asymptotes end behavior
• #### The First Derivative Test for Relative Maximum and Minimum

##### CalculusApplications of the Derivative

How to use an algebraic approach to find one-sided limits of a rational function, and how these limits can be used to find a vertical asymptote.

• #### Optimization Using the First Derivative Test

##### CalculusApplications of the Derivative

How to evaluate the limit of a function as x goes to infinity (or minus infinity), and how to determine the horizontal asymptote of its graph.