limx→∞x (e^(1/x) -1)

问题描述:

limx→∞x (e^(1/x) -1)

limx→∞x (e^(1/x) -1)
=limx→∞ (e^(1/x) -1)/(1/x)
=limx→∞ (1/x) /(1/x)
=1