The functions f and g are defined for values of x near 3. Selected values are shown.
x | 2.9 | 2.99 | 3.01 | 3.1
f(x) | 1.10 | 0.11 | −0.09 | −1.05
g(x) | −0.50 | −0.05 | 0.05 | 0.52
Which of the following is the best estimate of x→3limg(x)f(x)?
a) 0
b) 2
c) −2
d) The limit does not exist because the left- and right-hand limits are different.