1/2+1/4+1/8+1/16+-----+1/256=

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答案和解析

令S=1/2+1/4+1/8+1/16+-----+1/128+1/256
2S=1+1/2+1/4+1/8+1/16+-----+1/128
S=2S-S=1-1/256
=255/256

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