Squeeze theorem practice problems.


If space, 5, minus, 3, x, minus, x, start superscript, 2, end superscript, is less than or equal to, g, left parenthesis, x, right parenthesis, is less than or equal to, x, plus, 9, space for all x near minus, 2 except perhaps at x, equals, minus, 2, space itself, what is the value of
limx2g(x)\qquad \displaystyle \lim_{x\to -2}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