(1-1/2)*(1/3-1)*...*(1-1/2004)*(1/2005-1)怎么算

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(1-1/2)*(1/3-1)*...*(1-1/2004)*(1/2005-1)怎么算

(1-1/2)*(1/3-1)*...*(1-1/2004)*(1/2005-1)怎么算
(1-1/2)*(1/3-1)*...*(1-1/2004)*(1/2005-1)怎么算

(1-1/2)*(1/3-1)*...*(1-1/2004)*(1/2005-1)怎么算
由于2004/2=1002,没有余数,所以把偶数项符号颠倒过来与原式结果相同.于是原式=(1-1/2)(1-1/3)……(1-1/2004)(1-1/2005)=1/2*2*3*3/4*4/5*……2003/2004*2004/2005约分之后=1/2005

=-4.8