(1+1/2)×(1+1/3)×(1+1/4)…(1+1/2020)×(1/2-1)…(1/2011-1)怎么算

问题描述:

(1+1/2)×(1+1/3)×(1+1/4)…(1+1/2020)×(1/2-1)…(1/2011-1)怎么算

(1+1/2)×(1+1/3)×(1+1/4)…(1+1/2020)×(1/2-1)…(1/2011-1)
=3/2×4/3×5/4×……×2021/2020×1/2×2/3×……×2010/2011
=2020/2×1/2011
=1010/2011