limx[ln(2x+1)-ln(2x)]=?
问题描述:
limx[ln(2x+1)-ln(2x)]=?
答
limx[ln(2x+1)-ln(2x)]
=limx[ln(2x+1)/2x]
=limln[1+1/2x]^x
=limln[1+1/2x]^(2x.1/2)
=limlne^(1/2)
=1/2