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

question 83

Short Answer

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

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Definitions:

Resources Allocation

The process of distributing available resources among various competing needs and desires to achieve optimal efficiency.

Majority Voting

A process of making decisions where the choice that gets over fifty percent of the votes prevails.

Pizza Order

Consists of a request by a customer to purchase a specific type of pizza with chosen toppings, size, and quantity from a pizzeria or restaurant.

Paradox of Voting

The situation in which individual rationality (deciding not to vote because a single vote rarely decides an election) leads to a collective problem (poor electoral outcomes if many decide not to vote).