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 $3$, $\qquad \displaystyle \lim_{x \to 3}f(x)=1 ~$ and $~ \displaystyle \lim_{x\to 3}~h(x)=1$. What is the value of $\displaystyle \lim_{x\to 3} ~g(x)\,$? [[☃ image 1]] [[☃ radio 1]]