limx→0 1/ln(1+x)+1/ln(1-x)
=limx→0 [ln(1-x)+ln(1+x)]/ln(1+x)*ln(1-x),
=limx→0 ln(1-x^2)/ln(1+x)ln(1-x),(ln(1+x)~x,替换)
=limx→0 -x^2/[x*(-x)]
=1.
limx→0 1/ln(1+x)+1/ln(1-x)
=limx→0 [ln(1-x)+ln(1+x)]/ln(1+x)*ln(1-x),
=limx→0 ln(1-x^2)/ln(1+x)ln(1-x),(ln(1+x)~x,替换)
=limx→0 -x^2/[x*(-x)]
=1.