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補上一個1/2^100 1+1/2+1/2^2+1/2^3……+1/2^100+1/2^100 =1+1/2^2+.+1/2^99+1/2^99 . =1+1/2+1/2 =2 所以1+1/2+1/2的平方+1/2的三次方……+1/2的一百次方=2-1/2^100
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