Graph 1/(3x^(2/3))

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

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

$x = 0$

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

No Horizontal Asymptotes

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

No Oblique Asymptotes

This is the set of all asymptotes.

Vertical Asymptotes: $x = 0$

No Horizontal Asymptotes

No Oblique Asymptotes