求该函数的极限 (x→1)lim [ x/(x-1) -1/ln x]

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/11 15:47:15
求该函数的极限(x→1)lim[x/(x-1)-1/lnx]求该函数的极限(x→1)lim[x/(x-1)-1/lnx]求该函数的极限(x→1)lim[x/(x-1)-1/lnx]极限(x→1)lim

求该函数的极限 (x→1)lim [ x/(x-1) -1/ln x]
求该函数的极限 (x→1)lim [ x/(x-1) -1/ln x]

求该函数的极限 (x→1)lim [ x/(x-1) -1/ln x]
极限 (x→1)lim [ x/(x-1) -1/ln x]
=极限 (x→1)lim [ xlnx-(x-1)]/[(x-1) ln x]
=lim(x→1) [lnx+1-1]/[lnx+(x-1)/x]
=lim(x→1) [xlnx]/[xlnx+(x-1)]
=lim(x→1) (lnx+1)/(lnx+1+1)
=1/2