For the function and

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

Problem

For the function

f(x)=\dfrac{7x-2}{x}

and

\varepsilon=0.05

, the inequality

|f(x)-7|<\varepsilon

will hold whenever

x>M

. Which of the following integers can be chosen as the smallest such

M

? (a)

41

(b)

40

(c)

39

(d)

80