Find the horizontal asymptote of the given function. \[ g(x)=\frac{x+1}{x^{2}-4} \] A. $y=4$ B. $y=1$ C. None D. $y=0$

Step 1 ：The horizontal asymptote of a rational function can be found by comparing the degrees of the numerator and denominator. If the degree of the denominator is greater than the degree of the numerator, the horizontal asymptote is y=0. If the degrees are equal, the horizontal asymptote is the ratio of the leading coefficients. If the degree of the numerator is greater, there is no horizontal asymptote.

Step 2 ：In this case, the degree of the denominator (2) is greater than the degree of the numerator (1), so the horizontal asymptote should be y=0.

Step 3 ：Final Answer: \(\boxed{y=0}\)