极限limx趋近于0 (sin(sinx)-sinx)/x^3怎么求?
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极限limx趋近于0 (sin(sinx)-sinx)/x^3怎么求?
极限limx趋近于0 (sin(sinx)-sinx)/x^3怎么求?
极限limx趋近于0 (sin(sinx)-sinx)/x^3怎么求?
原式=limx→0 [cos(sinx)*cosx-cosx]/3x^2,
=limx→0 [cos(sinx)-1]/3x^2
=limx→0 -sin(sinx)*cosx/6x
=limx→0 -sin(sinx)/6x
=limx→0 -cos(sinx)*cosx/6
=-1/6.
极限limx趋近于0 (sin(sinx)-sinx)/x^3怎么求?
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