Let f , g and h be the real valued function defined on R as \(f(x)=\left{\begin{matrix}\frac{x}{|x|}, & x\neq 0 \\ 1, & …

Let f, g and h be the real valued function defined on R as \(f(x)=\left{\begin{matrix}\frac{x}{|x|}, & x\neq 0 \\ 1, & x=0\end{matrix}\right.\\ g(x)=\left{\begin{matrix}\frac{\sin (x+1)}{(x+1)}, & x\neq −1 \\ 1, & x=−1\end{matrix}\right.\\\)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