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简算:1/2+1/4+1/8+1/16+1/32+…+1/4096=()
人气:240 ℃ 时间:2020-02-04 03:22:30
解答
原式=(1/2+1/4+...+1/2048+1/4096+1/4096)-1/4096=(1/2+1/4+...+1/1024+1/2048+1/2048)-1/4096=(1/2+1/4+...+1/1024+1/1024)-1/4096=...=(1/2+1/2)-1/4096=1-1/4096=4095/4096
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