小学数学奥赛(1+1/51)×(1-1/51)×(1+1/52)×(1-1/52)×……×(1+1/152)×(1-1/
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小学数学奥赛
(1+1/51)×(1-1/51)×(1+1/52)×(1-1/52)×……×(1+1/152)×(1-1/152)具体点
(1+1/51)×(1-1/51)×(1+1/52)×(1-1/52)×……×(1+1/152)×(1-1/152)具体点
(1+1/51)×(1-1/51)×(1+1/52)×(1-1/52)×……×(1+1/152)×(1-1/152)
=(1-1/51)×(1+1/51)×(1-1/52)×(1+1/52)×(1-1/53)×(1+1/53)×……×(1-1/151)×(1+1/151)×(1-1/152)×(1+1/152)
=50/51×52/51×51/52×53/52×52/53×54/53×……×150/151×152/151×151/152×153/152
=50/51×153/152
=75/76
=(1-1/51)×(1+1/51)×(1-1/52)×(1+1/52)×(1-1/53)×(1+1/53)×……×(1-1/151)×(1+1/151)×(1-1/152)×(1+1/152)
=50/51×52/51×51/52×53/52×52/53×54/53×……×150/151×152/151×151/152×153/152
=50/51×153/152
=75/76