计算x(x-1)分之1+(x-1)(x-2)分之1+(x-2)(x-3)分之1+...+(x-99)(x-100)分之1

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计算x(x-1)分之1+(x-1)(x-2)分之1+(x-2)(x-3)分之1+...+(x-99)(x-100)分之1
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计算x(x-1)分之1+(x-1)(x-2)分之1+(x-2)(x-3)分之1+...+(x-99)(x-100)分之1
计算x(x-1)分之1+(x-1)(x-2)分之1+(x-2)(x-3)分之1+...+(x-99)(x-100)分之1

计算x(x-1)分之1+(x-1)(x-2)分之1+(x-2)(x-3)分之1+...+(x-99)(x-100)分之1
x(x-1)分之1+(x-1)(x-2)分之1+(x-2)(x-3)分之1+...+(x-99)(x-100)分之1
=1/(x-1)-1/x+1/(x-2)-1/(x-1)+...+1/(x-100)-1/(x-99)
=1/(x-100)-1/x
=100/x(x-100)
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