1÷(1-1/2)÷(1-1/3)÷(1-1/4)÷······÷(1-1/2012)1÷(1-1/2)÷(1-1/3)÷(1-1/4)÷……÷(1-1/2012)

来源:学生作业帮助网 编辑:作业帮 时间:2024/08/02 15:20:01
1÷(1-1/2)÷(1-1/3)÷(1-1/4)÷······÷(1-1/2012)1÷(1-1/2)÷(1-1/3)÷(1-1/4)÷……÷(1-1/2012)
xŒKNPYI+ RCM[I*T҂Ƅ:p&Md'{[PVcDsA> <y-ĺxxkpGozDS?=R?-'VSxK췇n4">V|[BjhX;*൹`xp;Y<* Yuq5] s#'̓>%bhP(0>ʢ~gqN,6Ḯ̆A Ob1B,(wgؙN{"X8x hR/mk

1÷(1-1/2)÷(1-1/3)÷(1-1/4)÷······÷(1-1/2012)1÷(1-1/2)÷(1-1/3)÷(1-1/4)÷……÷(1-1/2012)
1÷(1-1/2)÷(1-1/3)÷(1-1/4)÷······÷(1-1/2012)
1÷(1-1/2)÷(1-1/3)÷(1-1/4)÷……÷(1-1/2012)

1÷(1-1/2)÷(1-1/3)÷(1-1/4)÷······÷(1-1/2012)1÷(1-1/2)÷(1-1/3)÷(1-1/4)÷……÷(1-1/2012)
【1-1/n=(n-1)/n】
1÷(1-1/2)÷(1-1/3)÷(1-1/4)÷······÷(1-1/2012)
=1÷1/2÷2/3÷3/4÷······÷2011/2012
=1×2×3/2×4/3×······×2012/2011
=1×2012
=2012
故答案为:2012.
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