limx趋近于无穷x^2(π/2-arctan3x^2)

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limx趋近于无穷x^2(π/2-arctan3x^2)limx趋近于无穷x^2(π/2-arctan3x^2)limx趋近于无穷x^2(π/2-arctan3x^2)设π/2-arctan3x^2=

limx趋近于无穷x^2(π/2-arctan3x^2)
limx趋近于无穷x^2(π/2-arctan3x^2)

limx趋近于无穷x^2(π/2-arctan3x^2)
设π/2-arctan3x^2=t
x^2=(1/3)tan(π/2-t)=(1/3)cost/sint
limx趋近于无穷x^2(π/2-arctan3x^2)=(Limt趋近于0)(t(1/3)cost/sint)=1/3

建议把反三角用级数展开做试试。