当x趋近于1时求1/(1-x)-1/lnx的极限

lim(x→1)[ 1/(1-x) -1/lnx]
=lim(x→1)[ lnx-(1-x)]/[(1-x)lnx]
=lim(x→1) [lnx+x-1]' / [lnx-xlnx]'
=lim(x→1)[1/x+1]/[1/x-lnx-1]
=∞