问道高数题?

lim(x-1)ln(x-1) lim下面有个x→1+ (+是在1的右上角)要过程
2025-05-08 19:27:35
推荐回答(1个)
回答1:

lim(x-1)ln(x-1)=limln(x-1)/(1/x-1)
运用洛必达法则:
limln(x-1)/(1/x-1)=
lim{1/[(x-1)*ln10]}/[-1/(x-1)^2 ]=(1-x)/ln10=0