# Squeeze theorem

Squeeze theorem practice problems.

### Problem

The graphs of the continuous functions f (in blue), g (in green), and h (in red) are shown below. It is given that
space, f, left parenthesis, x, right parenthesis, is less than or equal to, g, left parenthesis, x, right parenthesis, is less than or equal to, h, left parenthesis, x, right parenthesis, space for all space, x, space near 2, space,
$\qquad \displaystyle \lim_{x \to 2}f(x)=2 ~$ and $~ \displaystyle \lim_{x\to 2}~h(x)=2$.
What is the value of $\displaystyle \lim_{x\to 2} ~g(x)\,$?