Calculus Examples

$\frac{lim_{x \to 0} \sqrt{x^{2} + x}}{\sqrt{x^{3} + 2}}$

Step 1

Because there is a gap in the domain of $\sqrt{x^{2} + x}$ to the left of $0$ , the limit does not exist.

$\frac{Does not exist}{\sqrt{x^{3} + 2}}$

Step 2

The limit does not exist.

$Does not exist$