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问题: 极限问题

lim[1/(x^2-3x+2)-2/(x^2-4x+3)]=?
n→1

解答:

lim[1/(x^2-3x+2)-2/(x^2-4x+3)]
n→1
=lim[(-x+1)/(x-1)(x-2)(x-3)
n→1
=lim[-1/(x-2)(x-3)
n→1
=-1/(1-2)(1-3)
=-1/2