Consider the limit

$$lim$$x$$$$

$2$x$25$x$3+62$x$3+$ x $+8$

For large values of x this fraction is approximately the ratio of the dominant terms $($the ones that go to infinity the fastest$).$ Select which is the correct approximation for large values of x$.$

$2$x$25$x$3+62$x$3+$ x $+8$

$$

$68$

$2$x$25$x$3+62$x$3+$ x $+8$

$$

$5$x$3$x

$$

$2$x$25$x$3+62$x$3+$ x $+8$

$$

$2$x$22$x$3$

$2$x$25$x$3+62$x$3+$ x $+8$

$$

$5$x$32$x$3$

Use the above approximation to find the limit$.$

$$lim$$x$$$$

$2$x$25$x$3+62$x$3+$ x $+8$

$=$