2010*(1-1/2)*(1-1/3)*…*(1-1/2010)=?(*=乘号)

问题描述:

2010*(1-1/2)*(1-1/3)*…*(1-1/2010)=?(*=乘号)

2010*(1-1/2)*(1-1/3)*…*(1-1/2010)
=2010*(1/2)*(2/3)*…*(2009/2010)
=2010*(1/2010)
=1