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(1)原式=(1-1/腊斗销2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)...(1-1/轮游10)(1+1/销穗10)
=1/2×3/2×2/3×4/3×3/4×5/4...9/10×11/10
=1/2×11/10
=11/20
(2)原式=2001^3-2×2001-(2001-2)/2001^3+2001^2-(2001+1)
=2001^2×(2001-2)-(2001-2)/2001^2×(2001+1)-(2001+1)
=(2001-2)(2001^2-1)/(2001+1)(2001^2-1)
=1999/2002
=1/2×3/2×2/3×4/3×3/4×5/4...9/10×11/10
=1/2×11/10
=11/20
(2)原式=2001^3-2×2001-(2001-2)/2001^3+2001^2-(2001+1)
=2001^2×(2001-2)-(2001-2)/2001^2×(2001+1)-(2001+1)
=(2001-2)(2001^2-1)/(2001+1)(2001^2-1)
=1999/2002
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