Determine the horizontal asymptotes of the following functio

Determine the horizontal asymptotes of the following function. If there is no horizontal asymptote, write DNE.

f(x)=(x)/(x^2-3)

First we must compare the degrees of the polynomials. The numerator contains a 1st degree polynomial while the denominator contains a 2nd degree polynomial.

Since the polynomial in the numerator is a lower degree than the denominator, the horizontal asymptote is located at y=0.