计算(1-2/3)*(1-2/4)*(1-2/5)*...(1-2/98)*(1-2/99)*(1-2/100).(用简算)

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计算(1-2/3)*(1-2/4)*(1-2/5)*...(1-2/98)*(1-2/99)*(1-2/100).(用简算)

(1-2/3)*(1-2/4)*(1-2/5)*...(1-2/98)*(1-2/99)*(1-2/100)
=1/3*2/4*3/5*...*96/98*97/99*98/100
=(1*2*3*...*96*97*98)/(3*4*5*...*98*99*100)
=1*2*(3*...*96*97*98/3*4*5*...*98)/(99*100)
=1*2/(99*100)
=2/9900
=1/4950