Calculus Examples

$\frac{\sqrt{a \sqrt{b}}}{\sqrt[3]{a b}}$

Step 1

Find where the expression $0$ is undefined.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Step 2

The vertical asymptotes occur at areas of infinite discontinuity.

No Vertical Asymptotes

Step 3

$\frac{\sqrt{y \sqrt{x}}}{\sqrt[3]{y x}} = 0$ is an equation of a line, which means there are no horizontal asymptotes.

No Horizontal Asymptotes

Step 4

Use polynomial division to find the oblique asymptotes. Because this expression contains a radical, polynomial division cannot be performed.

Cannot Find Oblique Asymptotes

Step 5

This is the set of all asymptotes.

No Vertical Asymptotes

No Horizontal Asymptotes

Cannot Find Oblique Asymptotes

Step 6