Complete $($a$)$ and $($b$).$

lim$$x$$$$

$(7$x$^34$x$)/(5$x$^32)$

$($a$)$ Use analytic methods to evaluate the limit$.($If the limit is infinite, enter $\text{'}$$\text{'}$ or $\text{'}-$$\text{'},$ as appropriate. If the limit does not otherwise exist, enter DNE.$)$ If your answer is a number, enter it as a fraction or an exact decimal $($do not round$).$

$($b$)$ What does the result from part $($a$)$ tell you about horizontal asymptotes?

The result indicates that there are no horizontal asymptotes.The result indicates that there is a horizontal asymptote.$$The result does not yield any information regarding horizontal asymptotes.