The function $h$ is defined by $h(x)=\frac{x^2-7}{x-3}.$ Which of the following statements must be true?

$\underset{x{3}^{-}}{lim}h(x)=-$ and $\underset{x{3}^{+}}{lim}h(x{)}_0=-$

$\underset{x{3}^{-}}{lim}h(x)=+$ and $\underset{x{3}^{+}}{lim}h(x)=-$

$\underset{x{3}^{-}}{lim}h(x)=-$ and $\underset{x{3}^{+}}{lim}h(x)=+$

$\underset{x{3}^{-}}{lim}h(x)=+$ and $\underset{x{3}^{+}}{lim}h(x)=+$