The rational function is .
In lowest terms .
Find the vertical asymptote:
\Find the vertical asymptote by equating the denominator to zero.
\Therefore, is the vertical asymptote.
Find the horizontal asymptote:
\The function is .
Since the degree of the numerator is equal to the degree of the denominator,
\horizontal asymptote is the ratio of leading coefficient of numerator and
\denominator.
\Leading coefficient of numerator , leading coefficient of denominator
.
Therefore, is the horizontal asymptote.
Vertical asymptote: .
Horizontal asymptote: .