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高数,求极限limx→1(x^2-2x+1/(x^2-1)的值limx→0(x^2-2x+1/(x^2-1)的值
题目详情
高数,求极限 limx→1(x^2-2x+1/(x^2-1)的值
limx→0(x^2-2x+1/(x^2-1)的值
limx→0(x^2-2x+1/(x^2-1)的值
▼优质解答
答案和解析
limx→1(x^2-2x+1/(x^2-1)
=limx→1(x-1)^2/(x-1)(x+1)
=limx→1(x-1)/(x+1)
=0/2
=0
limx→0(x^2-2x+1/(x^2-1)
=(0-0+1)/(0-1)
=-1
=limx→1(x-1)^2/(x-1)(x+1)
=limx→1(x-1)/(x+1)
=0/2
=0
limx→0(x^2-2x+1/(x^2-1)
=(0-0+1)/(0-1)
=-1
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