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1题2008/2009乘以2008-20072题(1-1/2)乘以(1-1/3)乘以(1-1/4)乘以.(1-1/99)

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1题2008/2009乘以2008-20072题(1-1/2)乘以(1-1/3)乘以(1-1/4)乘以.(1-1/99)乘以(1-1/100)
(1-1/2)乘以(1-1/3)=1/2乘以2/3=1/3
(1-1/2)乘以(1-1/3)乘以(1-1/4)=1/2乘以2/3乘以3/4=1/4
(1-1/2)乘以(1-1/3)乘以(1-1/4)乘以(1-1/5)=1/2乘以2/3乘以3/4乘以4/5=1/5
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依此类推:(1-1/2)乘以(1-1/3)乘以(1-1/4)乘以.(1-1/99)乘以(1-1/100)=1/2乘以2/3乘以3/4乘以4/5.98/99乘以99/100=1/100