lim(1-2/x)^2x=?x趋向于无穷

问题描述:

lim(1-2/x)^2x=?x趋向于无穷

lim(1-2/x)^2x (x趋向于无穷)
=lim[1+1/(-x/2)]^[(-x/2)*(-4)] (x趋向于无穷)
=lim{[1+1/(-x/2)]^(-x/2)}^(-4) (x趋向于无穷)
=e^(-4)