For which $x$ does the series \(\sum_{n=0}^{\infty} \left(\frac{2n}{n^2 - 1}\right) x^n\) converge? Remember to check endpoints if there is an interval of convergence.
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Step 1: We can rewrite the series as: \[ \sum_{n=1}^{\infty} n^2 \] Show more…
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