当x趋向于0正,球极限l=limxlnx的过程

Question

如题所述

Answer 1

解lim(x->0+)[xlnx]=lim(x->0+)[lnx/(1/x)]
=lim(x->0+)[(1/x)/(-1/x²)] (∞/∞型极限,应用罗比达法则)
=lim(x->0+)[-x]
=0