Answer
$\lim\limits_{x \to \infty} (\frac{5}{x} - \frac{x}{3}) = \infty$
Work Step by Step
As x approaches negative infinity, 5/x approaches 0 and -x/3 approaches positive infinity.
$\lim\limits_{x \to \infty} (\frac{5}{x} - \frac{x}{3}) = \lim\limits_{x \to \infty}\frac{5}{x} + \lim\limits_{x \to \infty} -\frac{x}{3} = 0 + \infty = \infty$
