Determine Whether the Series $\sum _ { n = 2 } ^ { \infty } \ln \frac { n ^ { 2 } } { ( n + 1 ) ( n - 1 ) }$

question 327

Short Answer

Determine whether the series $\sum _ { n = 2 } ^ { \infty } \ln \frac { n ^ { 2 } } { ( n + 1 ) ( n - 1 ) }$ is convergent or divergent. If it is convergent, find the sum.

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Definitions:

Variable Costs

Costs that vary directly with the level of production or output, such as materials and direct labor costs.

Fixed Costs

Expenses that do not change with the level of production or sales, such as rent, salaries, and insurance, providing stability in a budget.

Contribution Margin

The difference between sales revenue and variable costs, indicating how much revenue contributes to covering fixed costs and profit generation.