Answer
$-\infty$
Work Step by Step
$x\rightarrow 0$
means that the values of x approach 0 from either side.
For any of these x, the numerator is negative (approaches $-1).$
The denominator is positive, because
$x^{2}$is not negative and approaches 0,
$(x+2)$ is positive and approaches +2,
so their product is positive and approaches 0.
So
$\displaystyle \lim_{x\rightarrow 0}\frac{x-1}{x^{2}(x+2)}=-\infty$