作业帮1/2+1/4+1/8+．．．．．．+1/64
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/30 18:47:54
1/2+1/4+1/8+．．．．．．+1/64
1/2+1/4+1/8+．．．．．．+1/64
1/2+1/4+1/8+．．．．．．+1/64
1/2+1/4+1/8+1/16+1/32+1/64
=1/2+1/4+1/16+1/32+1/64+1/64-1/64
=1/2+1/4+1/8+1/16+1/32+1/32-1/64
=1/2+1/4+1/8+1/16+1/16-1/64
=1/2+1/4+1/8+1/8-1/64
=1/2+1/4+1/4-1/64
=1/2+1/2-1/64
=1-1/64
=63/64
63/64
1/2+1/4+1/8+．．．．．．+1/64
=1/2+1/4+1/8+．．．．．．+1/64+1/64-1/64
=1-1/64
=63/64
原式=(32+16+8+......+1)/64
=1*（1-2^6）/（1-2）/64
=63/64