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t=x-1 T=(t+1)/t-1/ln(t+1),t->0 ln(1+t)=t-t^2/2. T=1+1/t-1/[t-t^2/2+0(t^3)]----通分 =1+[1-t/2+0(t^2)-1]/[t-t^2/2+0(t^3)] =1+[t/2+0(t^2)]/[t-t^2/2+0(t^3)] =1+1/2 =3/2
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