Answer
indeterminate,
$-\displaystyle \frac{1}{3}$
Work Step by Step
See the table: "Some Determinate and lndeterminate Forms" and$, $after plugging in the value for x, recognize
that the limit is initially in the form $\displaystyle \frac{0}{0}$ (indeterminate)
From the Strategy for Evaluating Limits Algebraically, see case 2 of step 2
after simplifying with $x^{3}$, the limit becomes
$\displaystyle \lim_{x\rightarrow 0}\frac{-1}{3}=-\frac{1}{3}$
