Calculate the given limit$,$ if it exists. $($If an answer does not exist, enter DNE.$)$

lim$$x$$$$

x$6+2,000$x$3+1,000,0003$x$6+8,000$x$3$

$13$

If the limit does not exist, say why. $($If the limit does exist, so state.$)$

The limit does not exist because the function is not defined for large positive values of x$.$The limit does exist because it approaches or $$$.$The limit does not exist because the function is not defined for large negative values of x$.$The limit does not exist because it diverges to or $$$.$