数学题(1-1/3)*(1-1/4)*(1-1/5)*.(1-1/2009)*2009等多少?
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数学题(1-1/3)*(1-1/4)*(1-1/5)*.(1-1/2009)*2009等多少?
数学题(1-1/3)*(1-1/4)*(1-1/5)*.(1-1/2009)*2009等多少?
数学题(1-1/3)*(1-1/4)*(1-1/5)*.(1-1/2009)*2009等多少?
找规律啊!
原式=(2/3)(3/4)(4/5)……(2008/2009)2009
=2
每一项的分母都与后一项的分子约分
1
(1-1/3)*(1-1/4)*(1-1/5)*......(1-1/2009)*2009
=2/3*3/4*4/5.....*2008/2009*2009
=2