Calculus Examples

$lim_{x \to 2^{+}} \frac{x^{2} - 2 x - 8}{x^{2} - 5 x + 6}$

Step 1

Since the numerator is negative and the denominator $x^{2} - 5 x + 6$ approaches zero and is less than zero for $x$ near $2$ to the right, the function increases without bound.

$\infty$