求lim(x^3(sin1/x-1/2*sin2/x)) x趋于无穷
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求lim(x^3(sin1/x-1/2*sin2/x)) x趋于无穷
![求lim(x^3(sin1/x-1/2*sin2/x)) x趋于无穷](/uploads/image/z/17687785-49-5.jpg?t=%E6%B1%82lim%28x%5E3%28sin1%2Fx-1%2F2%2Asin2%2Fx%29%29+x%E8%B6%8B%E4%BA%8E%E6%97%A0%E7%A9%B7)
lim(x^3(sin1/x-1/2*sin2/x)) x趋于无穷
=lim(sint-1/2*sin2t)/t^3 t趋于0
=lim(cost-cos2t)/3t^2 t趋于0
=lim(-sint+2sin2t)/6t t趋于0
=lim(-cost+4cos2t)/6 t趋于0
=(-1+4)/6
=1/2
=lim(sint-1/2*sin2t)/t^3 t趋于0
=lim(cost-cos2t)/3t^2 t趋于0
=lim(-sint+2sin2t)/6t t趋于0
=lim(-cost+4cos2t)/6 t趋于0
=(-1+4)/6
=1/2
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