d$)\underset{x}{lim}\frac{\sqrt[\phantom{2}]{9x}+2\sqrt[\phantom{2}]{x+6}}{3\sqrt[\phantom{2}]{x+8}}$

$($e$)\underset{x0}{lim}\frac{4ln(x+1)+5cos(x)-4x-5}{e^{3x}-3x-1}$

$($f$)\underset{x0}{lim}\frac{x^3}{x-tan(x)}$

Evaluate each limit$.$ Use L$$Hopital$$s rule when it applies and is appropriate.