limx趋于0+,x^2[e^(1/x)]=

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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)]=设t=1/x原式=lim[t-->+∞](e^t)/t²=

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)]=
设t=1/x
原式=lim[t-->+∞](e^t)/t²
=lim[t-->+∞](e^t)/(2t)
=lim[t-->+∞](e^t)/2=+∞