입증:부등식 1/lnx-1/(x-1)

입증:부등식 1/lnx-1/(x-1)

f(x)==/lnx-1/(x-1)-1/2,x 잘(1,2).f(x)=-1/[x(lnx)^2]+1/(x-1)~(x-1)^2=-2(x)/(x(x-1)****(lnx)^2],그 중 g(x)=(x-1)^2-x(lnx)^2-x(lnx)^2(lnx)^2,g'(x)(x)=2(x-2(x-2(x-2-2lnx/x-2/x/x=x(x-x-1)/x(x-x(lnx)/x-x(x)/x(x)/x x(x)/x x x x-1,x*8712°(1,2...