Problem

The continuous functions start color blueD, f, end color blueD, start color goldD, g, end color goldD, and start color maroonD, h, end color maroonD are graphed.
Also:
f(x)g(x)h(x) for all xlimx1f(x)=limx1h(x)=2\begin{aligned} &f(x)\le g(x) \le h(x)\text{ for all }x \\\\ &\displaystyle \lim_{x \to 1}f(x)=\displaystyle \lim_{x\to 1}h(x)=2 \end{aligned}
What is the value of limx1g(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
Do 4 problems