Determine the convergence or divergence of the following series. 
Definitions:
Promising Option
A potential solution or choice that shows substantial merit or advantage.
Reasonable Options
Choices or alternatives that are sensible and likely to bring about a desired outcome based on rational judgment.
Human Decision-Making
The cognitive process resulting in the selection of a belief or a course of action among several possible alternatives.
Promising Alternative
An option that shows potential to be effective or beneficial in comparison to others.
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