计算:2008×(1减2分之1)×(1减3分之1)×(1减4分之1)×.×(1减2007分之1)×(1减2008分之1)

问题描述:

计算:2008×(1减2分之1)×(1减3分之1)×(1减4分之1)×.×(1减2007分之1)×(1减2008分之1)

2008×(1-1/2)×(1-1/3)×...×(1-1/2007)×(1-1/2008)
=2008×(1/2×2/3×3/4×...×2006/2007×2007/2008)
=2008×1/2008
=1