Answer
$\displaystyle \frac{1}{2}$
Work Step by Step
This is a limit at infinity. Use Theorem 10.2.
(use only the highest powers)
$\displaystyle \lim_{x\rightarrow\infty}f(x)=\lim_{x\rightarrow\infty}\frac{x^{5}}{2x^{5}}$=...reduce...
$=\displaystyle \lim_{x\rightarrow\infty}\frac{1}{2}=\frac{1}{2}$
