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In the land of polynomials with 500 dimensions , Again ...

\[\sum_{i=1}^{500}\frac{1}{O_{i}+x_{i}}\]

Where \(O_{i}\) denotes \(i^{th}\) odd number , for a polynomial mentioned below ,

\[x^{500}-2x^{498}+x^{496}-\cdots+x^2-1723\] which has roots , \(x_{1},x_{2},\cdots,x_{500}\)

Evaluate the above summation.


Also see this

Note by Chinmay Sangawadekar
10 months ago

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Chinmay, if you want an unique answer, we need the expression to be somewhat-symetric. Otherwise we would probably have to use numerical methods. Aareyan Manzoor · 10 months ago

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@Aareyan Manzoor You mean , the polunomial should be symetric ? and why won't we get an unique answet ? Chinmay Sangawadekar · 10 months ago

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@Chinmay Sangawadekar the expression, the summation you gave Aareyan Manzoor · 10 months ago

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@Aareyan Manzoor You are free to edit the note at your will..@Aareyan Manzoor . Chinmay Sangawadekar · 10 months ago

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@Aareyan Manzoor @Aareyan Manzoor can you suggest any symmetric format ? Chinmay Sangawadekar · 10 months ago

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