(1/2-1)*(1/3-1)*……*(1/99-1)的倒数是__ (1/2-1)*(1/3-1)*……*(1/100-1)的倒数是__
问题描述:
(1/2-1)*(1/3-1)*……*(1/99-1)的倒数是__ (1/2-1)*(1/3-1)*……*(1/100-1)的倒数是__
答
(1/2-1)*(1/3-1)*……*(1/99-1)=(1-1/2)(1-1/3)(1-1/4)……(1-1/99)=1/2×2/3×3/4× ……×98/99=1/99∴(1/2-1)*(1/3-1)*……*(1/99-1)的倒数是_99_ (1/2-1)*(1/3-1)*……*(1/100-1)的倒数是_-10...真的莫?真的,