函数F(x)=kx,G(x)=ln(x)/x,求方程F(x)=G(x)在[1/e,e]内的解的个数

Question

函数F(x)=kx,G(x)=ln(x)/x,求方程F(x)=G(x)在[1/e,e]内的解的个数

Answer 1

If k > 1/2e,0;
If k = 1/2e,1 (solution is x=sqrt(e));
If 1/e^2