Question: Determine whether the following series converge or diverge. State the tests you use.

1. \(\sum_{n=1}^{\infty} \frac{(-1)^{n}}{\sqrt{n}}\)
2. \(\sum_{n=0}^{\infty} \frac{1}{\sqrt{n^{2}+1}}\)
3. \(\sum_{n=0}^{\infty} \frac{(-1)^{n}}{2^{n}}\)

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