Question: Which of the following series converges absolutely, conditionally or diverges?

1. \(\sum\limits_{{}}^{{}}{{{\left( -1 \right)}^{n}}\frac{1}{\sqrt{n}}}\)
2. \(\sum\limits_{{}}^{{}}{{{\left( -1 \right)}^{n}}\frac{\sqrt{n}}{1+\sqrt{n}}}\)
3. \(\sum\limits_{{}}^{{}}{{{\left( -1 \right)}^{n}}\frac{1}{n\left( 1+\sqrt{n} \right)}}\)

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