Let f, g and h be the real valued functions defined on R as \(f\left(x\right)=\left{\begin{matrix}\frac{x}{|x|}, & x\neq…

Let f, g and h be the real valued functions defined on R as \(f\left(x\right)=\left{\begin{matrix}\frac{x}{|x|}, & x\neq 0 \\ 1, & x=0\end{matrix},g\left(x\right)=\left{\begin{matrix}\frac{\sin (x+1)}{(x+1)}, & x\neq -1 \\ 1, & x=-1\end{matrix}\right.\right.\)and \(h(x)=2[x]-f(x)\), where [x] is the greatest integer\(\leq x\). Then the value of \(\lim _{x\to 1}g(h(x-1))\) is