刚学的极限,还不怎么熟练。11题不太会……

2025-05-10 18:08:25
推荐回答(2个)
回答1:

(11)原式=lim(x->1){[(1-x)(1-x)]/[(1+x^(1/2))(1+x^(1/3)+x^(2/3))(1-x)²]}
(分子分母同乘(1+x^(1/2))(1+x^(1/3)+x^(2/3)),有理化分母)
=lim(x->1){1/[(1+x^(1/2))(1+x^(1/3)+x^(2/3))]} (分子分母同除(1-x)²)
=1/[(1+1)(1+1+1)]
=1/6。

回答2:

高中么