The continuous functions $\blueD f$, $\goldD g$, and $\maroonD h$ are graphed.
We are also given the following information:
$\begin{align}
&f(x)\le g(x) \le h(x)\text{ for all }x
\\\\
&\displaystyle \lim_{x \to 3}f(x)=\displaystyle \lim_{x\to 3}h(x)=1
\end{align}$
**What is the value of $\displaystyle \lim_{x\to 3}g(x)$?**
[[☃ input-number 1]]