lim(x趋向0)(x^3)/(x-sinx)

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lim(x趋向0)(x^3)/(x-sinx)

lim(x趋向0)(x^3)/(x-sinx)
lim(x趋向0)(x^3)/(x-sinx)

lim(x趋向0)(x^3)/(x-sinx)
lim(x->0) ) x^3/(x-sinx)
=lim(x->0) 3x^2/(1-cosx) //: 用一次洛必达法则
=lim(x->0) 6x/(sinx) //: 再用一次
=lim(x->0) 6/cosx
=6

还什么大神
=lim3x²/﹙1-cosx﹚=lim6﹙x/2﹚²/﹙x/2﹚²=6

lim(x->0)(x^3)/(x-sinx) (0/0)
=lim(x->0)(3x^2)/(1-cosx) (0/0)
=lim(x->0)(6x^)/(1+sinx)
=0