x^(1+x)/(1+x)^x= x^x/(1+x)^x * x = x/(1+1/x)^x 原式 = x [1/ (1+1/x)^x - 1/e ]= x[e-(1+1/x)^x]/[e(1+1/x)^x]=x[e-(1+1/x)^x]/e^2=1/e^2 * [e-(1+t)^(1/t)] / t=1/e^2 * [e - (e - (et)/2 + (11et^2)/24 - o(t^3...