Answer
$\lim\limits_{x \to 2}f(x) = \infty$
$\lim\limits_{x \to -2+}f(x) = \infty$
$\lim\limits_{x \to -2^-}f(x) = -\infty$
$\lim\limits_{x \to -\infty} f(x) = 0$
$\lim\limits_{x \to \infty} = 0$
$f(0) = 0$
Work Step by Step
$\lim\limits_{x \to 2}f(x) = \infty$
As $x$ approaches $2$ from the left and the right, 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 positive numbers.
$\lim\limits_{x \to -2^-}f(x) = -\infty$
As $x$ approaches $-2$ from the left, the value of the function becomes larger magnitude negative numbers.
$\lim\limits_{x \to -\infty} f(x) = 0$
As $x$ approaches larger magnitude negative numbers, the value of the function gets closer and closer to 0
$\lim\limits_{x \to \infty} = 0$
As $x$ approaches larger magnitude positive numbers, the value of the function gets closer and closer to 0
$f(0) = 0$
