求解lim(x趋近0)[(1-cosx) sin2x]/(x^3)的极限.

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求解lim(x趋近0)[(1-cosx) sin2x]/(x^3)的极限.
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求解lim(x趋近0)[(1-cosx) sin2x]/(x^3)的极限.
求解lim(x趋近0)[(1-cosx) sin2x]/(x^3)的极限.

求解lim(x趋近0)[(1-cosx) sin2x]/(x^3)的极限.
等价无穷小方法
1-cosx—x^2/2
sin2x-2x
lim(x趋近0)[(1-cosx) sin2x]/(x^3)=x^2/2*2x/x^3=1

lim(x→0)[(1-cosx) sin2x]/(x^3)
=lim(x→0)[x^2/2* 2x]/(x^3)
=1