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(1-1/2)×(1+1/2)×(1-1/3)×(1+1/3)×(1-1/4)×(1+1/4)递等式简便计算.
人气:221 ℃ 时间:2020-04-07 08:21:40
解答

(1-1/2)×(1+1/2)×(1-1/3)×(1+1/3)×(1-1/4)×(1+1/4)
=1/2×3/2×2/3×4/3×3/4×5/4
=1/2×(3/2×2/3)×(4/3×3/4)×5/4
=1/2×1×1×5/4
=5/8
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