计算(1-1/2)^2*(1-1/3)^2*(1-1/4)^2*...*(1-1/2009)^2*(1-1/2010)^
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计算(1-1/2)^2*(1-1/3)^2*(1-1/4)^2*...*(1-1/2009)^2*(1-1/2010)^2的值为
![计算(1-1/2)^2*(1-1/3)^2*(1-1/4)^2*...*(1-1/2009)^2*(1-1/2010)^](/uploads/image/z/10255625-17-5.jpg?t=%E8%AE%A1%E7%AE%97%281-1%2F2%29%5E2%2A%281-1%2F3%29%5E2%2A%281-1%2F4%29%5E2%2A...%2A%281-1%2F2009%29%5E2%2A%281-1%2F2010%29%5E)
(1-1/2)^2*(1-1/3)^2*(1-1/4)^2*...*(1-1/2009)^2*(1-1/2010)^2
=(1/2)^2*(2/3)^2*(3/4)^2.(2009/2010)^2
=1/(2010)^2
=(1/2)^2*(2/3)^2*(3/4)^2.(2009/2010)^2
=1/(2010)^2