lim(x趋近于1)(1-√x)/(1-x^(1/3))怎么求?
问题描述：
lim(x趋近于1)(1-√x)/(1-x^(1/3))怎么求?
答
将(1-√x)/(1-x^(1/3))分子分母同乘以它们的有理化因式后约去为0的因式1-x,得
(1-√x)/(1-x^(1/3))=(1+x^(1/3)+x^(2/3))/(1+√x),
再取极限得原式=3/2.