Statement-I: $\underset{x\to 0}{\lim }\left(\left(\frac{1-{\cos }^2\left(3x\right)}{{\cos }^3\left(4x\right)}\right)\left(\frac{{\sin }^3\left(4x\right)}{{\log }_e{(2x+1)}^5}\right)\right)$ is equal to 18
Statement-II: Let k and m be positive real numbers such that the function $f\left(x\right)=\{\begin{array}{l}3x^2+k\sqrt{x+1},0<x<1\\ m{x}^2+k^2,x\ge 1\end{array}$ is differentiable for all x>0. Then $\frac{f\text{'}\left(8\right)}{f\text{'}\left(\frac{1}{8}\right)}$ is equal to $\frac{309}{8}$