Calculus Examples

$lim_{x \to 3} \frac{x - 5}{x^{2} - 6 x + 9}$

Step 1

Since the numerator is negative and the denominator $x^{2} - 6 x + 9$ approaches zero and is greater than zero for $x$ near $3$ on both sides, the function decreases without bound.

$- \infty$