limx趋于0+,x^2[e^(1/x)]=

问题描述:

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=+∞