Determine Whether the Sequence $\alpha _ { n } = \frac { 1 } { e ^ { n } }$

question 58

Essay

Determine whether the sequence $\alpha _ { n } = \frac { 1 } { e ^ { n } }$ converges or diverges. If it converges, find the limit.

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Definitions:

Close Relationships

Significant interpersonal connections with others, characterized by emotional bonding, intimacy, and mutual support.

Self-Esteem

A measure of how much value and respect one has for oneself, affecting motivation, behavior, and feelings.

Collective Guilt

The emotional experience felt by members of a group due to the actions or behaviors of the group as a whole, typically relating to moral wrongdoing.

Guilt Complex

A guilt complex is a psychological condition where a person experiences chronic feelings of guilt that may not be justified by real circumstances.