Last edited by realnumber at 2014-4-25 12:23:00当$x=\frac{1}{e}$时,显然成立.
当$x>\frac{1}{e}$时,$1+x+x\ln{x}+\frac{1}{1+\ln{x}}\ge p$.
当$0<x<\frac{1}{e}$时,$1+x+x\ln{x}+\frac{1}{1+\ln{x}}\le p$.其中$1+x+x\ln{x}+\frac{1}{1+\ln{x}}<1$显然. lm1.gsp(3.02 KB, Downloads: 3622)