Use Eq. (1) from the text to expand the function into a power series with center $c= 0$ and determine the set of $x$ for which the expansion is valid.

$$f(x) = \frac{1}{6+x^{3}}$$

$\frac{1}{6+x^{3}} = \sum\limits_{n=0}^{\infty}$

The interval of convergence is: