Calculus Examples

$lim_{x \to 0} \frac{1}{x}$

Step 1

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

$lim_{x \to 0^{+}} \frac{1}{x}$

Step 2

Since the numerator is a constant and the denominator approaches $0$ when $x$ approaches $0$ from the right, the fraction $\frac{1}{x}$ approaches infinity.

$\infty$