> 数学 >
lim(x→1)(x-x^x)/(1-x+Inx)的极限?
人气:261 ℃ 时间:2020-03-30 08:58:39
解答
lim(x→1)(x-x^x)/(1-x+Inx)=lim(x→1)x(1-x^(x-1)/(1-x+lnx)=lim(x→1)(1-x^(x-1))/(1-x+lnx)=lim(x→1)(x^(x-1)(lnx+1-1/x)/(-1+1/x)=lim(x→1)(xlnx+x-1)/(-x+1)=lim(x→1)(lnx+1+1)/-1=-2
推荐
猜你喜欢
© 2026 79432.Com All Rights Reserved.
电脑版|手机版