For each function, determine the long run behavior

$\displaystyle \frac{{{x}^{{3}}+{1}}}{{{x}^{{2}}+{2}}}$ has Select an answer No horizontal asymptote a Horizontal asymptote at y=0 a Horizontal asymptote at y=1

$\displaystyle \frac{{{x}^{{2}}+{1}}}{{{x}^{{2}}+{2}}}$ has Select an answer No horizontal asymptote a Horizontal asymptote at y=0 a Horizontal asymptote at y=1

$\displaystyle \frac{{{x}^{{2}}+{1}}}{{{x}^{{3}}+{2}}}$ has Select an answer No horizontal asymptote a Horizontal asymptote at y=0 a Horizontal asymptote at y=1