求lim n→∞ (1+2/n)^n+3
问题描述:
求lim n→∞ (1+2/n)^n+3
答
2/n趋向0 1的n次方趋向1 1+3=4 答案是4
答
lim n→∞ (1+2/n)^(n+3)=lim n→∞ (1+2/n)^n*lim n→∞ (1+2/n)^3=e^2.