Calculus Examples

$lim_{x \to - 2} 2 | \frac{x}{x^{2} - 4} |$

Step 1

Consider the limit with the constant multiple $2$ removed.

$lim_{x \to - 2} | \frac{x}{x^{2} - 4} |$

Step 2

Consider the left sided limit.

$lim_{x \to {(- 2)}^{-}} | \frac{x}{x^{2} - 4} |$

Step 3

As the $x$ values approach $- 2$ from the left, the function values increase without bound.

$\infty$

Step 4

Consider the right sided limit.

$lim_{x \to {(- 2)}^{+}} | \frac{x}{x^{2} - 4} |$

Step 5

As the $x$ values approach $- 2$ from the right, the function values increase without bound.

$\infty$