巧算下面2题99999*2222-3333*66666=(1-1/2)(1/3-1)(1-1/4)(1/5-1)...(1/2003-1)(1-1/2004)=

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巧算下面2题99999*2222-3333*66666=(1-1/2)(1/3-1)(1-1/4)(1/5-1)...(1/2003-1)(1-1/2004)=

巧算下面2题99999*2222-3333*66666=(1-1/2)(1/3-1)(1-1/4)(1/5-1)...(1/2003-1)(1-1/2004)=
巧算下面2题
99999*2222-3333*66666=
(1-1/2)(1/3-1)(1-1/4)(1/5-1)...(1/2003-1)(1-1/2004)=

巧算下面2题99999*2222-3333*66666=(1-1/2)(1/3-1)(1-1/4)(1/5-1)...(1/2003-1)(1-1/2004)=
1, 99999*2222-3333*66666=9*2*11111*1111-3*6*11111*1111=0
2, (1-1/2)(1/3-1)(1-1/4)(1/5-1)...(1/2003-1)(1-1/2004)
= (1/2)(-2/3)(3/4)(-4/5)...(-2002/2003)(2003/2004)
= -1/2004