Algebra Examples

$\frac{1}{3 x^{\frac{2}{3}}}$

Step 1

Find where the expression $\frac{1}{3 x^{\frac{2}{3}}}$ is undefined.

$x = 0$

Step 2

Since the limit does not exist, there are no horizontal asymptotes.

No Horizontal Asymptotes

Step 3

Since there is no remainder from the polynomial division, there are no oblique asymptotes.

No Oblique Asymptotes

Step 4

This is the set of all asymptotes.

Vertical Asymptotes: $x = 0$

No Horizontal Asymptotes

No Oblique Asymptotes

Step 5