How to tell if there is a vertical asymptote

It’s important to keep them in mind when trying to figure out How to tell if there is a vertical asymptote.

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2-07 Asymptotes of Rational Functions

A function has a vertical asymptote if and only if there is some x=a such that the limit of a function as it approaches a is positive or negative

Functions 2

To find the vertical asymptote (s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function