Question: Indicate whether each of the series given below is convergent or divergent. Identify the test you apply to support your conclusion

a- \(\sum\limits_{n=1}^{\infty }{\frac{{{\tan }^{-1}}n}{{{n}^{2}}}}\)

b- \(\sum\limits_{n=1}^{\infty }{\frac{1}{\sqrt{8{{n}^{2}}-3n}}}\)

c- \(\sum\limits_{n=1}^{\infty }{{{\left( \frac{-1}{\ln n} \right)}^{n}}}\)