求lim(x→1)(X^1/3-1)/(x^1/2-1)

不用洛比塔法则，坐等

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令a=x^1/薯裂6
则a趋弊手消于1
所租知以原式=lim(a²-1)/(a³-1)
=lim(a-1)(a+1)/(a-1)(a²+a+1)
=lim(a+1)/(a²+a+1)
=2/3

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