作业帮求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：作业帮 时间：2024/05/03 04:48:38
![求1-1/2+1/4-1/8+…+(-1)的n次方×[1/(2的n次方)]的极限,n→∞,](/uploads/image/z/4028270-14-0.jpg?t=%E6%B1%821-1%2F2%2B1%2F4-1%2F8%2B%E2%80%A6%2B%28-1%29%E7%9A%84n%E6%AC%A1%E6%96%B9%C3%97%5B1%2F%282%E7%9A%84n%E6%AC%A1%E6%96%B9%29%5D%E7%9A%84%E6%9E%81%E9%99%90%2Cn%E2%86%92%E2%88%9E%2C)
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