Calculus Examples

$\frac{lim_{x \to 1} \sqrt{x^{2} - 1}}{(\sqrt{x - 1}) (\sqrt{x - 1})}$

Step 1

Because there is a gap in the domain of $\sqrt{x^{2} - 1}$ to the left of $1$ , the limit does not exist.

$\frac{Does not exist}{(\sqrt{x - 1}) (\sqrt{x - 1})}$

Step 2

The limit does not exist.

$Does not exist$