(1)、(1-1/2²)(1-1/3²)(1-1/4²)...(1-1/10²) (2)、(m²/m-2)-m-2的结果是
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(1)(1-1/2²)(1-1/3²)(1-1/4²)...(1-1/10²)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)...(1-1/9)(1+1/9)(1-1/10)(1+1/10)
=1/2×3/2×2/3×4/3×3/4×5/4×...×8/9×10/9×9/10×11/10
=1/2×11/10
=11/20
(2)m²/(m-2)-m-2
=m²/(m-2)-(m+2)
=[m²-(m-2)(m+2)]/(m-2)
=4/(m-2)
有疑问,请追问;若满意,请采纳,谢谢!
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)(1-1/4)(1+1/4)...(1-1/9)(1+1/9)(1-1/10)(1+1/10)
=1/2×3/2×2/3×4/3×3/4×5/4×...×8/9×10/9×9/10×11/10
=1/2×11/10
=11/20
(2)m²/(m-2)-m-2
=m²/(m-2)-(m+2)
=[m²-(m-2)(m+2)]/(m-2)
=4/(m-2)
有疑问,请追问;若满意,请采纳,谢谢!
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