求lim n→∞ (1+2/n)^n+3

问题描述:

求lim n→∞ (1+2/n)^n+3

2/n趋向0 1的n次方趋向1 1+3=4 答案是4

lim n→∞ (1+2/n)^(n+3)=lim n→∞ (1+2/n)^n*lim n→∞ (1+2/n)^3=e^2.