Answer
$\displaystyle \frac{1}{2}$
Work Step by Step
This is a limit at infinity. Use Theorem 10.2.
(use only the highest powers)
$\displaystyle \lim_{x\rightarrow-\infty}f(x)=\lim_{x\rightarrow-\infty}\frac{x^{6}}{2x^{6}}$=...reduce...
$=\displaystyle \lim_{x\rightarrow-\infty}\frac{1}{2}= \frac{1}{2}$
