Evaluate the function f$($x$)$ at the given numbers $($correct to six decimal places$).$

f$($x$)=$x$^23$x$/$x$^2$ x $6$

$,$x $=3\mathrm{.}5,3\mathrm{.}1,3\mathrm{.}05,3\mathrm{.}01,3\mathrm{.}005,3\mathrm{.}001,2\mathrm{.}9,2\mathrm{.}95,2\mathrm{.}99,2\mathrm{.}995,2\mathrm{.}999$

Guess the value of the limit of f$($x$)$ as x approaches $3,$ correct to six decimal places. $($If an answer does not exist, enter DNE.$)$