lim(x趋向0)(x^3)/(x-sinx)

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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->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

lim sin2x/3x x趋向0 x趋向0 lim xcotx lim(1+3x)^3/x x趋向于0 计算lim(1+3x)^3/x x趋向0 lim(x趋向0)(x^3)/(x-sinx) lim(x趋向0) x^2 / (sin^2) * x/3 lim(x趋向0) x^2 / (sin^2) * x/3 lim（x-3/x+1）^x lim趋向无穷大 lim(x趋向0）(e^x-x^-x)/x lim(x趋向0)(arctanx-x)/sinx^3 lim(x趋向0)arctanx-sinx/x^3 求lim x趋向于0(x-sinx)/tanx^3 lim(x趋向于0)(tanx-sinx)/x^3=? lim （x趋向于0） tan5x/3X 1.x趋向0 lim (cosx-1)/x 2.x趋向0 lim sinx/x lim(x趋向0）(e^x-e^-x)/x lim(1-cosx)x趋向0, lim(x趋向0) 1-cos2x/xsinx