(1+1/2)x(1-1/2)x(1+1/3)x(1-1/3)x…(1+1/20)x(1-1/20

(1+1/2)x(1-1/2)x(1+1/3)x(1-1/3)x…(1+1/20)x(1-1/20)

第1个回答  2015-11-04
(1+1/2)x(1-1/2)x(1+1/3)x(1-1/3)x…(1+1/20)x(1-1/20) =3/2×1/2×4/3×2/3×.....×21/20×19/20
=21×1/(2×20)
=21/40本回答被提问者采纳
第2个回答  2015-11-04
原式=(3/2)×(1/2)×4/3×(2/3)×…×(21/20)×(19/20)
=[(3/2)×4/3×…×21/20]×(1/2×2/3×…×19/20)
=21/2×1/20
=21/40
第3个回答  2015-11-04
(1+1/2)x(1-1/2)x(1+1/3)x(1-1/3)x…(1+1/20)x(1-1/20)
=(3/2×4/3×……×21/20)×(1/2×2/3×……×19/20)
=21/2×1/20
=21/40
第4个回答  2015-11-04

第5个回答  2015-11-04

相似回答