Even though the limit can be found using the theorlem, Limits of Rational Functions at Infinity and Horizontal Asymptotes of Rational Functions, use L$"$Hopitar$\text{'}$s rule fo find the limit$.$

$\underset{x}{lim}\frac{3x2}{5x7}$

Apply L$\text{'}$H$$pital$\text{'}$s rule so that the $\underset{x}{lim}\frac{3x2}{5x7}$ is not an indeterminate form of the type $\frac{}{}.$

$\underset{x}{lim}\frac{3x2}{5x7}=\underset{x}{lim}$

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