Let $f: \mathrm{R} \rightarrow(0, \infty)$ and $\mathrm{g}: \mathrm{R} \rightarrow \mathrm{R}$ be twice differentiable function such that $\mathrm{f}^{\prime \prime}$ and g " are continuous functions on $R$. Suppose $f^{\prime}(2)=g(2)=0, f^{\prime \prime}(2) \neq 0$ and $g^{\prime}(2) \neq 0$. If $\lim _{x \rightarrow 2} \frac{f(x) g(x)}{f^{\prime}(x) g^{\prime}(x)}=1$, then