2012*(1-1/2)*(1-1/3)*(1-1/4)*.*(1-1/2012)

问题描述:

2012*(1-1/2)*(1-1/3)*(1-1/4)*.*(1-1/2012)

2012×(1-1/2)×(1-1/3)×(1-1/4)×……×(1-1/2012)
=2012×(1/2×2/3×3/4×……×2011/2012)
=2012×1/2012
=1