计算(-1+1/100)X(-1+1/101)X(-1+1/102)X.X(-1+1/2010)

问题描述:

计算(-1+1/100)X(-1+1/101)X(-1+1/102)X.X(-1+1/2010)

(-1+1/100)X(-1+1/101)X(-1+1/102)X.X(-1+1/2010)
=99/100×100/101×101/102×.×2009/2010
=99/2010
=33/670