利用lim(1+1/n)n=e求极限1,lim(1+k/n)20?

利用lim(1+1/n)n=e求极限1,lim(1+k/n)20?: 利用lim(1+1/n)n=e求极限 1,lim(1+k/n)2003n=? 2,lim(1+1/n+1/n2)n=?; 1. lim(1+k/n)^(2003n) = lim{[1 +1/(n/k)]^(n/k)}^2003k =e^(2003k) 2. lim(1+1/n+1/n2)^n = lim{[1 +1/(n^2/(n+1)]^[n^2/(n+1)]}^(1 +1/n) = e