Calculus Examples

$lim_{x \to 0} - \frac{2}{x^{2}}$

Step 1

Consider the limit with the constant multiple $- 1$ removed.

$lim_{x \to 0} \frac{2}{x^{2}}$

Step 2

Since the numerator is a constant and the denominator approaches $0$ when $x$ approaches $0$ , the fraction $\frac{2}{x^{2}}$ approaches infinity.

$\infty$

Step 3

Since the function $\frac{2}{x^{2}}$ approaches $\infty$ , the negative constant $- 1$ times the function approaches $- \infty$ .

$- \infty$