Let $$f(x) = \frac{x^2 + 5}{x^2 - 4}.$$ Find the indicated one-sided limits of $f$.
NOTE: Remember that you use INF for $\infty$ and -INF for $-\infty$.
You should also sketch a graph of $y=f(x)$, including vertical and horizontal asymptotes.

$\displaystyle{\lim_{x \rightarrow -2 ^{-}} f(x)}$ =
$\displaystyle{\lim_{x \rightarrow -2^{+}} f(x)}$ =

$\displaystyle{\lim_{x \rightarrow 2^{-}} f(x)}$ =
$\displaystyle{\lim_{x \rightarrow 2^{+}} f(x)}$ =

$\displaystyle{\lim_{x \rightarrow -\infty} f(x)}$ =
$\displaystyle{\lim_{x \rightarrow \infty} f(x)}$ =