Answer
0
Work Step by Step
This is a limit at infinity. Use Theorem 10.2.
(use only the highest powers)
$\displaystyle \lim_{x\rightarrow-\infty}f(x)=\lim_{x\rightarrow-\infty}\frac{10x^{2}}{5x^{3}}$=...reduce...
$=\displaystyle \lim_{x\rightarrow-\infty}\frac{2}{x}$,
which is of determinate form
$\displaystyle \pm\frac{k}{\infty}=0$
