Evaluate the $limit$ given below. $Ifan$ answer does not exist, enter DNE. Also, $if$ your answer $is$ not a whole

number, enter $itas$ a reduced fraction such $as\frac{2}{5}or\frac{17}{4}.$

$\underset{x2}{lim}\frac{x^5-20}{2x^3+5x-24}=$

Hint: Since the timit $of$ the denominator $to$ not zero, the $limit$ laws allow $usto$ use direct substitution $to$

evaluate the $limitof$ the rational function. Also, $if$ your answer $is$ not a whole number, $be$ sure $to$ enter $itas$

a reduced fraction such $as\frac{2}{5}or\frac{17}{4}.$