求1-1/2+1/4-1/8+…+(-1)的n次方×[1/(2的n次方)]的极限,n→∞,
来源：学生作业帮助网 编辑：六六作业网 时间：2024/11/16 21:24:17
求1-1/2+1/4-1/8+…+(-1)的n次方×[1/(2的n次方)]的极限,n→∞,求1-1/2+1/4-1/8+…+(-1)的n次方×[1/(2的n次方)]的极限,n→∞,求1-1/2+1/4
求1-1/2+1/4-1/8+…+(-1)的n次方×[1/(2的n次方)]的极限,n→∞,
求1-1/2+1/4-1/8+…+(-1)的n次方×[1/(2的n次方)]的极限,n→∞,
求1-1/2+1/4-1/8+…+(-1)的n次方×[1/(2的n次方)]的极限,n→∞,
lim(n→∞)[1-(-1/2)^n]/[1-(-1/2)]=1/(1+1/2)=2/3
lim(n→∞)[1-(-1/2)^n]/[1-(-1/2)]=1/(1+1/2)=2/3