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 1, space,
limx1f(x)=2 \qquad \displaystyle \lim_{x \to 1}f(x)=2 ~ and  limx1 h(x)=2~ \displaystyle \lim_{x\to 1}~h(x)=2\,.
What is the value of limx1 g(x)\displaystyle \lim_{x\to 1} ~g(x)\,?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
Get first 4 correct, or 5 in a row.