Answer
$\lim\limits_{x \to 2^-}f(x) = \infty$
$\lim\limits_{x \to 2+}f(x) = -\infty$
$\lim\limits_{x \to \infty} = 3$
$f$ is odd
Work Step by Step
$\lim\limits_{x \to 2^-}f(x) = \infty$
As $x$ approaches $2$ from the left, the value of the function becomes larger magnitude positive numbers.
$\lim\limits_{x \to 2+}f(x) = -\infty$
As $x$ approaches $2$ from the right, the value of the function becomes larger magnitude negative numbers.
$\lim\limits_{x \to \infty} = 3$
As $x$ approaches larger magnitude positive numbers, the value of the function gets closer and closer to 3
$f$ is odd
That is, $f(-x) = -f(x)$ for all values of $x$
The graph is symmetric about the origin.
