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.