(1/50-1)(1/49-1)(1/48-1)…(1/4-1)(1/3-1)(1/2-1)[等于多
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2013-10-13
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(1/50-1)(1/49-1)(1/48-1).......(1/4-1)(1/3-1)(1/2-1)
= (-1)^49 * (1-1/50)(1-1/49)...(1-1/2)
= (-1) * (49/50)(48/49)...(2/3)(1/2)
= (-1) * (49*48*............*2*1)/(50*49*48*................*3*2)
= (-1) * (1)/(50)
= -1/50
= (-1)^49 * (1-1/50)(1-1/49)...(1-1/2)
= (-1) * (49/50)(48/49)...(2/3)(1/2)
= (-1) * (49*48*............*2*1)/(50*49*48*................*3*2)
= (-1) * (1)/(50)
= -1/50
2013-10-13
展开全部
(1/50-1)(1/49-1)(1/48-1)…(1/4-1)(1/3-1)(1/2-1)=(-49/50)(-48/49)(-47/48)…(-3/4)(-2/3)(-1/2)=-1/50
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2013-10-13
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-1\50
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