
极限计算题?
2个回答
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分子=[x^(1/3)-1]^2
分母=(x-1)^2={[x^(1/3)-1][x^(2/3)+x^(1/3)+1]}^2
约分后,原极限=1/[x^(2/3)+x^(1/3)+1]^2 (x趋于1)=1/3^2=1/9
分母=(x-1)^2={[x^(1/3)-1][x^(2/3)+x^(1/3)+1]}^2
约分后,原极限=1/[x^(2/3)+x^(1/3)+1]^2 (x趋于1)=1/3^2=1/9
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