lim(1-2/x)^x/2+1(x趋向于无穷)求极限

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lim(1-2/x)^x/2+1(x趋向于无穷)求极限lim(1-2/x)^x/2+1(x趋向于无穷)求极限lim(1-2/x)^x/2+1(x趋向于无穷)求极限令x/2=t,x=2tx-->∞时,即

lim(1-2/x)^x/2+1(x趋向于无穷)求极限
lim(1-2/x)^x/2+1(x趋向于无穷)求极限

lim(1-2/x)^x/2+1(x趋向于无穷)求极限
令x/2=t,x=2t
x-->∞时,即t--> ∞
lim(1-2/x)^(x/2)+1
=lim(1-1/t)^t+1
=e+1