2007x(1-1/2)x(1-1/3)X(1-1/4).(1-1/2007)

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2007x(1-1/2)x(1-1/3)X(1-1/4).(1-1/2007)

2007x(1-1/2)x(1-1/3)X(1-1/4).(1-1/2007)
2007x(1-1/2)x(1-1/3)X(1-1/4).(1-1/2007)

2007x(1-1/2)x(1-1/3)X(1-1/4).(1-1/2007)
2007*(1-1/2007)*(1-1/2)*(1-1/3)*(1-1/4)……(1-1/2006)
=2006*(1-1/2006)*)*(1-1/2)*(1-1/3)*(1-1/4)……(1-1/2005)
这样一直推下去就可以得到
=2*(1-1/2)
=1

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