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

(a) \(\sum\limits_{{}}^{{}}{{{\left( -1 \right)}^{n}}\frac{1}{\sqrt{n}}}\)

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

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