If \[f(x)=\left\{ \begin{align} & \sin x,\ x\ne n\pi ,\ \ n\in Z \\ & \,\,\,\,\,\,2,\,\text{otherwise} \\ \end{align} \right.\] and \[g(x)=\left\{ \begin{align} & {{x}^{2}}+1,\ x\ne 0,\,2 \\ & \,\,\,\,\,\,\,\,\,4,\,x=0 \\ & \,\,\,\,\,\,\,\,\,\,5,x=2 \\ \end{align} \right.,\] then \[\underset{x\to 0}{\mathop{\lim }}\,g\,\{f(x)\}\] is [Kurukshetra CEE 1996]

• A.            5
• B.            6
• C.            7
• D.            1