Mathematics

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}}

5+\dfrac{1}{x}

5+\dfrac{2}{x}

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