极限为什么等于0?
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极限为什么等于0?
=[x→1]lim{[(1-x)/x]ln(1-x)}
=[x→1]lim{ln(1-x)/[x/(1-x)]}
=[x→1]lim{-(1-x)/[(1/(1-x)+x*(-1)/(1-x)²]}
=[x→1]lim{-(1-x)/[(1-2x)/(1-x)²]}
=[x→1]lim{-(1-x)/(1-2x)}
=-(1-1)/(1-2*1)
=0
=[x→1]lim{ln(1-x)/[x/(1-x)]}
=[x→1]lim{-(1-x)/[(1/(1-x)+x*(-1)/(1-x)²]}
=[x→1]lim{-(1-x)/[(1-2x)/(1-x)²]}
=[x→1]lim{-(1-x)/(1-2x)}
=-(1-1)/(1-2*1)
=0