(1-1/2^2)(1-1/3^2)(1-1/4^2)......(1-1/10^2) =(1+1/2)(1-1/2)(1+1/3)(1-1/3)(1+1/4)(1-1/4)......(1+1/10)(1-1/10)=3/2×4/3×5/4×……×11/10×1/2×2/3×3/4×……×9/10=11/2×1/10=11/20