(1-1/2)×(1-1/3)×(1-1/4)……×(1-1/1999)×(1-1/2000)求解

问题描述:

(1-1/2)×(1-1/3)×(1-1/4)……×(1-1/1999)×(1-1/2000)求解

(1-1/2)×(1-1/3)×(1-1/4)×...×(1-1/1999)×(1-1/2000)
=(1/2)×(2/3)×(3/4)×...×(1998/1999)×(1999/2000)
=(1×2×3×...×1998×1999)/(2×3×4×...×2000)
=1/2000