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问题: 求教极限问题

lim[1/(x-1)-2/(x^2-2)]
x->1

解答:

题目应为lim<x->1>[1/(x-1)-2/(x^2-1)] 吧?
lim<x->1>[1/(x-1)-2/(x^2-1)]( 通分)
=lim<x->1>(x-1)/(x^2-1)
=lim<x->1>1/(x+1)
=1/2