MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity
Problem
Tables give values of two functions near x=1.
x | 0.90 | 0.99 | 1.01 | 1.10
f(x) | 1.89 | 1.989 | 2.011 | 2.11
g(x) | 4.10 | 4.01 | 3.99 | 3.90
Let h(x)=f(x)g(x)−8. What is the best estimate of x→1limh(x)?
(a) −0.024
(b) 0.048
(c) 0.024
(d) 0