求极限lim(x趋于0)[arcsin(2x)/arctan(3x)]
问题描述：
求极限lim(x趋于0)[arcsin(2x)/arctan(3x)]
答
原式=lim(x->0)[arcsin(2x)/arctan(3x)]
=lim(x->0){[2/√(1-4x²)]/[3/(1+9x²)]} (应用罗比达法则)
=2/3.