如图
首先根据公式,展开ln(1+x),再乘1/x,得到e^(1-x/2+x^2/3+o(x^2)),我们设-x/2+x^2/3+o(x^2)为t,则原式为g(t)=e^(1+t),将此式在t=0处展开,得到g(t)=g(0)+g'(0)(t-0)+g''(0)(t-0)^2/2! g(0)=g'0=g''0=e,t-0=x/2+x^2/3+o(x^2)
用字写出来,看不懂