Ononot — For the convergent series \sum{n=1}^{\infty} \frac{1}{n^3} w

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Infinite Seriesmedium

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For the convergent series $\sum_{n=1}^{\infty} \frac{1}{n^3}$ with exact sum $S = \frac{\pi^2}{6}$ , estimate the tail error $R_5 = \sum_{n=6}^{\infty} \frac{1}{n^3}$ using the integral remainder bound.