## Mathematical Analysis## Calculus Basics |

## What are vertical asymptotes in association with limits? |

Using the example above, as *x* gets closer to 3, the points on the graph get closer to the vertical line *x* = 3 (seen as a dashed line on the graph below). This line is called a *vertical asymptote.* The following charts shows four of the vertical asymptotes for the given function *f(x)* and their notations.