Determine Whether the Given Series Is Convergent (But Not Absolutely $\sum _ { k = 2 } ^ { \infty } \frac { ( - 1 ) ^ { k + 1 } } { \ln k }$

Short Answer

Determine whether the given series is convergent (but not absolutely convergent), absolutely convergent, or divergent. $\sum _ { k = 2 } ^ { \infty } \frac { ( - 1 ) ^ { k + 1 } } { \ln k }$