The rational function is .

Find the vertical asymptote :

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 is and degree of the denominator is .

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 oblique asymptote.

Vertical asymptote: none

Oblique asymptote: .