limx趋近于无穷x^2(π/2-arctan3x^2)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/18 17:40:18
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。