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.


Graph of an equation with infinity limited by x = 3.


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