Answer
$\lim\limits_{x \to 0}f(x) = -\infty$
$\lim\limits_{x \to -\infty} f(x) = 5$
$\lim\limits_{x \to \infty} = -5$
Work Step by Step
$\lim\limits_{x \to 0}f(x) = -\infty$
As $x$ approaches $0$ from the left and the right, the value of the function becomes larger magnitude negative numbers.
$\lim\limits_{x \to -\infty} f(x) = 5$
As $x$ approaches larger magnitude negative numbers, the value of the function gets closer and closer to 5
$\lim\limits_{x \to \infty} = -5$
As $x$ approaches larger magnitude positive numbers, the value of the function gets closer and closer to -5