limx→1(x^2-2x+1/(x^2-1)的值

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limx→1(x^2-2x+1/(x^2-1)的值
limx→1(x^2-2x+1/(x^2-1)的值

limx→1(x^2-2x+1/(x^2-1)的值
limx→1(x^2-2x+1/(x^2-1)=limx→1[(x-1)^2/(x+1)(x-1)]=limx→1](x-1)/(x+1)]=0

运用洛必达法则 对上下两边求导 limx→1(x^2-2x+1/(x^2-1)=0