limX*lnX/(X*X+2)X趨向正無窮

limX*lnX/(X*X+2)X趨向正無窮

利用洛必達法則,
lim (X*lnX)/(X*X+2)
=lim lnX/(X+2/X)
=lim (1/X)/(1-2/X²)
=0/(1-0) = 0