limx→0(6x-sinx-sin2x-sin3x)/x^3求极限

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limx→0(6x-sinx-sin2x-sin3x)/x^3求极限limx→0(6x-sinx-sin2x-sin3x)/x^3求极限limx→0(6x-sinx-sin2x-sin3x)/x^3求

limx→0(6x-sinx-sin2x-sin3x)/x^3求极限
limx→0(6x-sinx-sin2x-sin3x)/x^3求极限

limx→0(6x-sinx-sin2x-sin3x)/x^3求极限
原式=limx→0 (6-cosx-2cos2x-3cos3x)/3x^2
=limx→0 (sinx+4sin2x+9sin3x)/6x
=limx→0 (cosx+8cos2x+27cos3x)/6
=(1+8+27)/6
=6.