Determine Whether Each of the Following Series Is Convergent or Divergent.(a)

Short Answer

Determine whether each of the following series is convergent or divergent.(a) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n }$ (b) $\sum _ { n = 0 } ^ { \infty } n \sin \left( \frac { 1 } { n } \right)$ (c) $\sum _ { n = 0 } ^ { \infty } ( - 1 ) ^ { n } \frac { 3 ^ { n } } { 5 ^ { n } }$