Find the vertical asymptote :

The rational function is .

In lowest terms .

Since the rational function is converted into polynomial, the vertical asymptote

does not exist.

Find horizontal asymptote, first find the degree of the numerator and

degree of the denominator.

Degree of the numerator and degree of the denominator .

If (degree of numerator is one more than degree of denominator)

the quotient obtained is of the form and the line is

an oblique asymptote.

Find the oblique asymptote:

.

.

Therefore, is an oblique asymptote.

Vertical asymptote: None.

Oblique asymptote: .