X趋向于π,求lim((sin^2 X)/()1+cos^3 X)

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X趋向于π,求lim((sin^2X)/()1+cos^3X)X趋向于π,求lim((sin^2X)/()1+cos^3X)X趋向于π,求lim((sin^2X)/()1+cos^3X)2/3代换,化

X趋向于π,求lim((sin^2 X)/()1+cos^3 X)
X趋向于π,求lim((sin^2 X)/()1+cos^3 X)

X趋向于π,求lim((sin^2 X)/()1+cos^3 X)
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