# How do you find the vertical asymptotes of f(x) = tan(πx)?

##### 1 Answer

May 2, 2018

The vertical asymptotes occur whenever

#### Explanation:

The vertical asymptotes of the tangent function and the values of

We know that

Therefore,

Thus, the vertical asymptotes are

You can see more clearly in this graph:

graph{(y-tan(pix))=0 [-10, 10, -5, 5]}