Determine Whether the Sequence Converges or Diverges $$a _ { n } = 2 e ^ { 4 n / ( n + 2 ) }$$

question 133

Short Answer

Determine whether the sequence converges or diverges. If it converges, find the limit.
$$a _ { n } = 2 e ^ { 4 n / ( n + 2 ) }$$

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Definitions:

Holland's

Refers to Holland's Theory, emphasizing the alignment between personal interests, capabilities, and the characteristics of professional environments.

Bandura's

Refers to the psychological theory emphasizing the importance of belief in one’s own abilities, developed by Albert Bandura, focusing on the power of self-belief in achieving personal goals.

Psychological Self

An individual's self-concept or identity formed by thoughts, feelings, and perceptions about oneself.

Circumscription

A process by which individuals limit their career aspirations within perceived social and personal constraints.