(1+1/2)x(1+1/4)x(1+1/6)x...x(1+1/10)x(1-1/3)x(1-1/5)x..x(1-1/9)

问题描述:

(1+1/2)x(1+1/4)x(1+1/6)x...x(1+1/10)x(1-1/3)x(1-1/5)x..x(1-1/9)

1.1

(1+1/2)x(1+1/4)x(1+1/6)x……x(1+1/10)x(1-1/3)x(1-1/5)x……x(1-1/9)
=3/2×2/3×5/4×4/5×7/6×6/7×9/8×8/9×11/10
=11/10
=1.1

(1+1/2)x(1-1/3)=1
(1+1/4)x(1-1/5)=1
(1+1/2)x(1+1/4)x(1+1/6)x...x(1+1/10)x(1-1/3)x(1-1/5)x..x(1-1/9)=1