[Solution Library] Find S_5, S_10, S_20, S_40 for the following series. (You may use any software and do not have to show your work). Make a guess if the series
Question: Find \(S_{5}, S_{10}, S_{20}, S_{40}\) for the following series. (You may use any software and do not have to show your work). Make a guess if the series converges or diverges.
- \(\sum_{n=1}^{\infty} \frac{2 n^{2}-1}{n^{2}+1}\)
- \(\sum_{n=1}^{\infty} \frac{1}{n(n+2)}\)
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