(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*……*(1+1/99)*(1-1/99)

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(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*……*(1+1/99)*(1-1/99)(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*……*(1+1/99)*(1-1

(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*……*(1+1/99)*(1-1/99)
(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*……*(1+1/99)*(1-1/99)

(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*……*(1+1/99)*(1-1/99)
(1-1/2)×(1+1/2)×(1-1/3)×(1+1/3)×…(1-1/99)×(1+1/99)
=1/2×3/2×2/3×4/3×3/4×5/4×…98/99×100/99
=1/2×100/99
=50/99