# What are the asymptote(s) and hole(s), if any, of # f(x) =sin(pix)/x#?

##### 1 Answer

Hole at

#### Explanation:

First you have to calculate the zero marks of the denominator which in this case is

As you see we have a common zero mark. This means that it's not an asymptote but a hole (with

Now we take the

but because there is only one kind of exponent of

Now, if the exponent is bigger in the numerator than of the denominator that means that there's a diagonal or a curved asymptote. Otherwise, there's a straight line. In this case, it's going to be a straight line. Now you divide the a values of the numerator by the a value of the denominator.