作业帮limx趋于0+,x^2[e^(1/x)]=
来源：学生作业帮助网 编辑：作业帮 时间：2024/10/03 17:39:25
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limx趋于0+,x^2[e^(1/x)]=
limx趋于0+,x^2[e^(1/x)]=
limx趋于0+,x^2[e^(1/x)]=
lim(x→0+)x^2[e^(1/x)] (t=1/x)
=lim(t→∞)e^t/t^2 (∞/∞)
=lim(t→∞)e^t/(2t)
=0