(1-1/2²)(1-1/3²)(1-1/4²).(1-1/10²)
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![(1-1/2²)(1-1/3²)(1-1/4²).(1-1/10²)](/uploads/image/z/1564118-62-8.jpg?t=%281-1%2F2%26%23178%3B%29%281-1%2F3%26%23178%3B%EF%BC%89%281-1%2F4%26%23178%3B%29.%281-1%2F10%26%23178%3B%29)
(1-1/2²)(1-1/3²)(1-1/4²).(1-1/10²)
(1-1/2²)(1-1/3²)(1-1/4²).(1-1/10²)
(1-1/2²)(1-1/3²)(1-1/4²).(1-1/10²)
(1-1/2²)(1-1/3²)(1-1/4²).(1-1/10²)
=1/2×3/2×2/3×4/3×3/4×5/4×...×9/10×11/10
=1/2×11/10
=11/20
您好:
(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)。。。(1-1/10)(1+1/10)
=1/2x3/2x2/3x4/3x3/4x5/4x...x9/10x11/10
=1/2x11/1...
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您好:
(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)。。。(1-1/10)(1+1/10)
=1/2x3/2x2/3x4/3x3/4x5/4x...x9/10x11/10
=1/2x11/10
=11/20
不明白,可以追问
如有帮助,记得采纳,谢谢
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