求一求极限题的解答过程lim(n→∞)(1+2/n)^-n=e^-2
1个回答
lim(n→∞)(1+2/n)^-n
=lim(n→∞){[1+1/(n/2)]^(n/2)}^(-2)
=e^(-2)
用到一个极限
lim(n→∞)(1+1/n)^n=e
相关问题
求极限 lim n[ e^2- (1+1/n)^2n] n->无穷
求极限lim(n→∞)(e^(1/n)-2sin(1/n))^n
求极限lim1/n2(√n+√2n+…√n2﹚
求极限lim n→∞ (2^n)/n!
求极限lim(√(n^2-1) -n)/(n-√(n^2+1))的值
求极限lim [1/(n+1)+1/(n+2)+...+1/(n+n)] (n→∞)
求极限lim [ 2^(n+1)+3^(n+1)]/2^n+3^n (n→∞)
求极限lim(n-1)^n/(n-2)^n(n到无穷大)
求极限lim(1+2^n+3^n)^1/n.n-->无穷.