lim x趋于0 (x-sin x)/x^3
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limx趋于0(x-sinx)/x^3limx趋于0(x-sinx)/x^3limx趋于0(x-sinx)/x^3原式=lim(1-cosx)/3x^2(x->0)=limsinx/6x(x->0)=
lim x趋于0 (x-sin x)/x^3
lim x趋于0 (x-sin x)/x^3
lim x趋于0 (x-sin x)/x^3
原式 = lim ( 1 - cos x ) / 3x^2 (x -> 0)
= lim sinx / 6x ( x -> 0)
= lim cosx / 6 ( x -> 0)
= 1 / 6
用洛必达法则化简,最后得到1/6
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