计算:(1-1/2²)(1-1/3²)(1-1/4²)*...*(1-1/100²)
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计算:(1-1/2²)(1-1/3²)(1-1/4²)*...*(1-1/100²)
计算:(1-1/2²)(1-1/3²)(1-1/4²)*...*(1-1/100²)
计算:(1-1/2²)(1-1/3²)(1-1/4²)*...*(1-1/100²)
原式=(1·3/2²)·(2·4/3²)·(3·5/4²)·(4·6/5²)······
(97·99/98²)·(98·100/99²)·(99·101/100²)
=(1/2)·(101/100)=101/200.