Calculus Examples

$lim_{x \to 5^{-}} \frac{x^{2} + 1}{(2 x + 3) (x - 5)}$

Step 1

Since the numerator is positive and the denominator $(2 x + 3) (x - 5)$ approaches zero and is less than zero for $x$ near $5$ to the left, the function decreases without bound.

$- \infty$