Evaluate the limit using the Basic Limit Laws and the limits $\underset{xc}{lim}{x}^{\frac{}{9}}=c^{\frac{}{9}}$ and $\underset{xc}{lim}k=k.$

$($Use symbolic notation and fractions where needed.$)$

$\underset{x3}{lim}\frac{\sqrt[\phantom{2}]{x+1}+1}{\sqrt[\phantom{2}]{x+6}-1}=$