求lim(x^3(sin1/x-1/2*sin2/x)) x趋于无穷

applegwm12022-10-04 11:39:541条回答

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我特长共回答了23个问题 | 采纳率95.7%: 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; 1年前

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