Calculus Examples

$lim_{x \to {(- 3)}^{-}} \frac{x}{\sqrt{x^{2} - 9}}$

Step 1

Since the numerator is negative and the denominator $\sqrt{x^{2} - 9}$ approaches zero and is greater than zero for $x$ near $- 3$ to the left, the function decreases without bound.

$- \infty$