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

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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*(1-1/2)*(1-1/

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*(1-1/2)*(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