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