函数极限x^(1/2)减1比x^(1/3)减

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函数极限x^(1/2)减1比x^(1/3)减函数极限x^(1/2)减1比x^(1/3)减函数极限x^(1/2)减1比x^(1/3)减f(x)=[x^(1/2)-1]/[x^(1/3)-1]在x趋近1的

函数极限x^(1/2)减1比x^(1/3)减
函数极限x^(1/2)减1比x^(1/3)减

函数极限x^(1/2)减1比x^(1/3)减
f(x)=[x^(1/2)-1]/[x^(1/3)-1]在x趋近1的极限值
分子分母同时求导,即利用罗必塔法则有:
limf(x)=(1/2)x^(-1/2)/[(1/3)x^(-2/3)]=(1/2)/(1/3)=3/2.