For a function

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

For a function

g

, selected values are given.

x	20	50	100	200
g(x)	5.05	5.02	5.01	5.005

Which of the following expressions is most consistent with the long-run behavior of

g(x)

suggested by the table? (a)

5+\dfrac{20}{x^{2}}

(b)

5+\dfrac{1}{x}

(c)

5+\dfrac{2}{x}

(d)

5+\dfrac{1}{x+1}