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

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

Determine Whether the Given Series Is Convergent (But Not Absolutely ∑k=2∞(−1)k+1ln⁡k\sum _ { k = 2 } ^ { \infty } \frac { ( - 1 ) ^ { k + 1 } } { \ln k }∑k=2∞​lnk(−1)k+1​

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