Evaluate the limit given below. Show your work and simplify your answer. $\underset{x2}{lim}\frac{x-2}{\sqrt[\phantom{2}]{3x^{2}4}-4}$Differentiate the function below. You do not seed to simplify your answer, simply finish differentiating.

$f(x)=(\frac{5}{6x^3}-sin4x{)}^{6}sec\sqrt[\phantom{2}]{x}$Evaluate the integral given below. Show all your work. ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}si{n}^9(x)cos(x)dx$