证明limx趋向于1(x-1)/(x^2-1)=1/2

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证明limx趋向于1(x-1)/(x^2-1)=1/2证明limx趋向于1(x-1)/(x^2-1)=1/2证明limx趋向于1(x-1)/(x^2-1)=1/2lim(x->1)(x-1)/(x^2

证明limx趋向于1(x-1)/(x^2-1)=1/2
证明limx趋向于1(x-1)/(x^2-1)=1/2

证明limx趋向于1(x-1)/(x^2-1)=1/2
lim(x->1) (x-1)/(x^2-1)
=lim(x->1) (x-1)/[(x+1)(x-1)] (平方差公式)
=lim(x->1) 1/(x+1) (约分)
=1/(1+1)
=1/2