(1+1/2)X(1+1/3)X(1+1/4)X(1+1/5)X.X(1+1/1999)X(1+1/2000)简算

问题描述:

(1+1/2)X(1+1/3)X(1+1/4)X(1+1/5)X.X(1+1/1999)X(1+1/2000)
简算

答案是1000.5

=2001/2

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2001/2

(3/2)(4/3)(5/4)……(2000/1999)(2001/2000)=2001/2
互相化简,自己观察一下就知道了!