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LARCALC$125\mathrm{.}6\mathrm{.}009.$MI$.$

Consider the following. $($If the limit is infinite, enter $\text{'}\text{'}$ or $\text{'}-\text{'},$ as appropriate. If the limit does not otherwise exist, enter DNE.

$\underset{x5}{lim}\frac{\sqrt[\phantom{2}]{x31}-6}{x-5}$

$($a$)$ Evaluate the limit using techniques from the chapters on limits and their properties and applications of differentiation.

$($b$)$ Evaluate the limit using L$\text{'}$H$$pital$\text{'}$s rule.