Continuous functions $f$ (in blue), $g$ (in green), and $h$ (in red) are graphed.
$f(x)\le g(x) \le h(x)~$ for all $x$ near $4$.
$\displaystyle \lim_{x \to 4}f(x)=1 ~$ and $~ \displaystyle \lim_{x\to 4}~h(x)=1$.

**What is the value of $\displaystyle \lim_{x\to 4} ~g(x)$?**
[[☃ math-keypad 1]]