求解，过程。。
2个回答
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100×（1-1/2）（1-1/3）（1-1/4）……（1-1/50）
=100×1/2×2/3×3/4……49/50
=100×1/50
=2
最后是2
=100×1/2×2/3×3/4……49/50
=100×1/50
=2
最后是2
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100-100*(1/2)-100*(1-1/2)*(1/3)-100*(1-1/2)*(1-1/3)*(1/4)-...-100*(1-1/2)*(1-1/3)*(1-1/4)*...*(1-1/49)*(1/50)
=100-100*(1/2)-100*(1/2)*(1/3)-100*(1/2)*(2/3)*(1/4)-...-100*(1/2)*(2/3)*(3/4)*...*(48/49)*(1/50)
=100-100*(1/2)-100*(1/2)*(1/3)-100*(1/3)*(1/4)-...-100*(1/49)*(1/50)
=100-100*(1/2)-100*(1/2-1/3)-100*(1/3-1/4)-...-100*(1/49-1/50)
=100*(1-1/2-1/2+1/3-1/3+1/4-...-1/49+1/50)
=100*(1-1/2-1/2+1/50)
=100/50
=2
=100-100*(1/2)-100*(1/2)*(1/3)-100*(1/2)*(2/3)*(1/4)-...-100*(1/2)*(2/3)*(3/4)*...*(48/49)*(1/50)
=100-100*(1/2)-100*(1/2)*(1/3)-100*(1/3)*(1/4)-...-100*(1/49)*(1/50)
=100-100*(1/2)-100*(1/2-1/3)-100*(1/3-1/4)-...-100*(1/49-1/50)
=100*(1-1/2-1/2+1/3-1/3+1/4-...-1/49+1/50)
=100*(1-1/2-1/2+1/50)
=100/50
=2
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