I. For the rational function $$\frac{2*x^2+3}{x^2-1}$$, the horizontal asymptote is $$y=2$$.

II. The limit $$\lim_{x\to\infty} \frac{5*x+1}{2*x+7}$$ equals $$\frac{5}{2}$$.

III. For the function $$f(x)= \frac{e^{-x}}{x}$$, as $$x\to\infty$$, the limit is $$0$$.

Which of these statements are true regarding limits involving infinity?