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Let $g(x)=\frac{x}{\ln (x-2)}$.$\newline$Select the correct description of the one-sided limits of $g$ at $x=3$.$\newline$Choose $1$ answer:$\newline$(A) $\lim _{x \rightarrow 3^{+}} g(x)=+\infty$ and $\lim _{x \rightarrow 3^{-}} g(x)=+\infty$$\newline$(B) $\lim _{x \rightarrow 3^{+}} g(x)=+\infty$ and $\lim _{x \rightarrow 3^{-}} g(x)=-\infty$$\newline$(C) $\lim _{x \rightarrow 3^{+}} g(x)=-\infty$ and $\lim _{x \rightarrow 3^{-}} g(x)=+\infty$$\newline$(D) $\lim _{x \rightarrow 3^{+}} g(x)=-\infty$ and $\lim _{x \rightarrow 3^{-}} g(x)=-\infty$