lim x-1/x平方+3x-4 x-1

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lim x-1/x平方+3x-4 x-1

请确定题目如下无误
lim(x→1)[(x-1)/(x^2+3x-4)]
=lim(x→1)[(x-1)/(x+4)(x-1)]
=lim(x→1)[1/(x+4)]
=1/(1+4)
=1/5