|1/101-1/99|-|1/100-1/99|-|1/100-1/101|,

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|1/101-1/99|-|1/100-1/99|-|1/100-1/101|,
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|1/101-1/99|-|1/100-1/99|-|1/100-1/101|,
|1/101-1/99|-|1/100-1/99|-|1/100-1/101|,

|1/101-1/99|-|1/100-1/99|-|1/100-1/101|,
先去除绝对值,将上式化成
1/99-1/101-(1/99-1/100)-(1/100-1/101)=1/99-1/101-1/99+1/100-1/100+1/101=0

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