作业帮limx趋近于1[1/(1—x)—3/(1—x^3)]
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/24 04:21:39
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limx趋近于1[1/(1—x)—3/(1—x^3)]
limx趋近于1[1/(1—x)—3/(1—x^3)]
limx趋近于1[1/(1—x)—3/(1—x^3)]
原式=limx趋近于1[(x^2+x+1)/(1—x^3)—3/(1—x^3)]
=limx趋近于1 (x^2+x-2)/(1—x)(x^2+x+1)
=limx趋近于1 (x-1)(x+2)/(1—x)(x^2+x+1)
=-limx趋近于1 (x+2)/)(x^2+x+1)
=-3/3
=-1
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