# How do you find the Vertical, Horizontal, and Oblique Asymptote given #f(x) = 7 tan(πx)#?

##### 1 Answer

Apr 5, 2018

See below.

#### Explanation:

There are no oblique asymptotes. Oblique asymptotes occur in rational functions where the numerator is of higher degree then the denominator. This is not a rational function. The function is periodic, so no horizontal asymptotes.

Vertical asymptotes occur where the function is undefined.

We can express this as:

so the function is undefined when

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