The graphs of the continuous functions $f$ (in blue), $g$ (in green), and $h$ (in red) are shown below. It is given that $\qquad f(x)\le g(x) \le h(x)~$ for all $\,x\,$ near $4\,$, $\qquad \displaystyle \lim_{x \to 4}f(x)=1 ~$ and $~ \displaystyle \lim_{x\to 4~}h(x)=1$. **What is the value of $\displaystyle \lim_{x\to 4} ~g(x)$?** [[☃ input-number 1]]