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An infinite sum

Algebra Level 3

Evaluate

\[\sum_{n=0}^{\infty}\frac{n}{n^4+n^2+1}.\]

Note: Refrain from using Wolfram Alpha to solve this problem.

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Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

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including olympiad champions, researchers, and professionals.

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by Pratik Shastri

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