X趋向于π,求lim((sin^2 X)/()1+cos^3 X)
问题描述:
X趋向于π,求lim((sin^2 X)/()1+cos^3 X)
答
2/3
代换,化为x->0.利用洛必达法则求
所求=(x->0)lim(sin^2x)/(1-cos^3x)=lim(2sinxcosx)/(3cosxsinx)=2/3