lim (π-2arctanx)lnx
=lim (π-2arctanx)/(1/lnx)
=lim [-2/(1+x^)]/[-1/(xln^x)]
=lim 2ln^x/(1/x+x)
=lim 4lnx/[x(-1/x^+1)]
=0.
lim(x趋近于无穷) (派-2arctanx)lnx=_____
lim (π-2arctanx)lnx
=lim (π-2arctanx)/(1/lnx)
=lim [-2/(1+x^)]/[-1/(xln^x)]
=lim 2ln^x/(1/x+x)
=lim 4lnx/[x(-1/x^+1)]
=0.