Identify any horizontal asymptotes of the following functions. If there are no horizontal asymptotes, enter NONE in the answer blank.

a) $f(x) = \dfrac{3 x^{3}+1}{x^{3}+2}$

Is there a horizontal asymptote? ? Yes, the given rational function has a horizontal asymptote. No, the given function does not have a horizontal asymptote.
What is it? $y=$

b) $g(x) = \dfrac{5 x^{4}+2x}{3 x^{3}+x+1}$

Is there a horizontal asymptote? ? Yes, the given rational function has a horizontal asymptote. No, the given function does not have a horizontal asymptote.
What is it? $y=$

c) $h(x) = \dfrac{x}{x^{3}+5}$

Is there a horizontal asymptote? ? Yes, the given rational function has a horizontal asymptote. No, the given function does not have a horizontal asymptote.
What is it? $y=$

Hint: