Calculus Examples

$lim_{x \to 0} \frac{\ln (x)}{x}$

Step 1

Change the two-sided limit into a right sided limit.

$lim_{x \to 0^{+}} \frac{\ln (x)}{x}$

Step 2

Since the numerator is negative and the denominator $x$ approaches zero and is greater than zero for $x$ near $0$ to the right, the function decreases without bound.

$- \infty$