lim x→0(tanx-x)/x^2sinx用洛必达法则解答
问题描述：
lim x→0(tanx-x)/x^2sinx用洛必达法则解答
答
lim(x->0)(tanx-x)/(x^2sinx）=lim(x->0)(sinx-xcosx)/((1/2)x^2sin2x)=lim(x->0)(sinx-xcosx)'/((1/2)x^2sin2x)'=lim(x->0)(cosx-cosx+xsinx)/(xsin2x+x^2cos2x)=lim(x->0)(xsinx)/(xsin2x+x^2cos2x)=lim(x->0)(1/(...