来自曹乃森的问题
求下列极限lim(1+1/2+1/4+...+1/2^n),n趋于无穷大
求下列极限lim(1+1/2+1/4+...+1/2^n),n趋于无穷大
1回答
2020-12-20 01:21
求下列极限lim(1+1/2+1/4+...+1/2^n),n趋于无穷大
求下列极限lim(1+1/2+1/4+...+1/2^n),n趋于无穷大
u(n)=1+1/2+1/4+...+1/2^n=(1-1/2^(n+1))/(1-1/2)=2-1/2^n
n->∞,1/2^n->0
lim(n->∞)u(n)=2