This paper discusses the number of intersections between the image and the line y = k of the function FX = LNX / X & # X belongs to [1 / E, e] emergency

This paper discusses the number of intersections between the image and the line y = k of the function FX = LNX / X & # X belongs to [1 / E, e] emergency

A:
f(x)=lnx /x^2
Derivation: F '(x) = 1 / x ^ 3-2lnx / x ^ 3 = (1-2lnx) / x ^ 3
Because: 1 / E0, f (x) increases monotonically
e^(1/2)