Calculus Examples

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

Step 1

Because there is a gap in the domain of $\frac{x}{\sqrt{x^{2} - 4}}$ to the left of $2$ , the limit does not exist.

$Does not exist$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$