Calculus Examples

$lim_{x \to 5^{-}} \frac{e^{x}}{{(x - 5)}^{3}}$

Step 1

Since the numerator is positive and the denominator ${(x - 5)}^{3}$ approaches zero and is less than zero for $x$ near $5$ to the left, the function decreases without bound.

$- \infty$