Determine Whether the Sequence Convergent or Divergent $$\sum _ { n = 1 } ^ { \infty } \frac { 3 } { n ^ { 2 } + 3 }$$

question 46

Multiple Choice

Determine whether the sequence convergent or divergent.
$$\sum _ { n = 1 } ^ { \infty } \frac { 3 } { n ^ { 2 } + 3 }$$

• A) converges
• B) diverges

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Definitions:

Utility Function

An economic model that represents a consumer's preference ranking for various bundles of goods by assigning a utility value to each bundle.

Pareto Optimal Allocation

A distribution of resources in an economy where improving the situation of one person necessitates detriment to another.

Utility Function

A mathematical representation of how a consumer ranks different bundles of goods based on their level of satisfaction or utility.

Endowed

Refers to the initial allocation of goods, resources, or wealth an individual or entity possesses.