limx趋向于正无穷e的1/x次方等于几,趋于负无穷呢,最好可以有步骤
2019-06-02
limx趋向于正无穷e的1/x次方等于几,趋于负无穷呢,最好可以有步骤
优质解答
e=lim (1+1/x)^x (x趋向于正无穷)
lim e^(1/x) = lim (1+1/x)^(x*(1/x)) =lim 1+1/x =1 (x趋向于正无穷)
e=lim (1+1/x)^x (x趋向于正无穷)
lim e^(1/x) = lim (1+1/x)^(x*(1/x)) =lim 1+1/x =1 (x趋向于正无穷)