Determine Whether $a _ { n } = \frac { n \cos n } { n ^ { 2 } + 1 }$

question 68

Short Answer

Determine whether $a _ { n } = \frac { n \cos n } { n ^ { 2 } + 1 }$ converges or diverges. If it converges, find the limit.

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Definitions:

Self-Worth

Self-worth refers to the value one assigns to oneself, often impacting their self-esteem and behaviors.

Disciplinary Style

The manner in which parents or guardians enforce rules and teach children about consequences, varying from authoritative to permissive or uninvolved strategies.

Racialized Loyalty Binds

Situations where loyalty is expected or coerced based on racial identity, often leading to complex social and emotional dynamics within racially diverse communities.

Biracial Children

Children whose parents belong to two different racial backgrounds, navigating identities that blend multiple cultural heritages.