$\text { Find the following limit of the sequence as } n \text { approaches infinity, if it exists. }$

question 25

Multiple Choice

$\text { Find the following limit of the sequence as } n \text { approaches infinity, if it exists. }$ $a_{n}=\frac{1}{n}\left(n+\frac{3}{n}\left[\frac{n(n+1) }{5}\right]\right)$

• A) \( \frac{3}{5} \)
• B) \( \frac{13}{5} \)
• C) \( \frac{8}{5} \)
• D) \( \frac{9}{5} \)
• E) The limit does not exist.

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Definitions:

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Not Criminally Responsible

A legal defense asserting that a person was suffering from a significant mental disorder at the time of committing an act, rendering them incapable of understanding the nature or wrongness of the act.

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Stress-Vulnerability Model

A theory suggesting that the development of psychiatric disorders results from the interaction between environmental stressors and an individual's biological vulnerability.