求解limx^(1/1-x) x→1 lim((2-x)/(3-x))^(1/x) x→1limx^(1/(1-x)) x→1 lim((2-x)/(3-x))^(1/x) x→1第二个问题错了lim((2-x)/(3-x))^(1/x) x→0

问题描述:

求解limx^(1/1-x) x→1 lim((2-x)/(3-x))^(1/x) x→1
limx^(1/(1-x)) x→1
lim((2-x)/(3-x))^(1/x) x→1
第二个问题错了
lim((2-x)/(3-x))^(1/x) x→0

limx^(1/(1-x))
=lim(1-x)^(1/x) x→0
=lim(1-1/x)^(x) x→infinity
=1/e
lim((2-x)/(3-x))^(1/x) x→1 你没打错吧.