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:

Steep Slope

A surface of which one end or side is at a much higher level than another, making an angle with the horizontal surface that is more pronounced.

Reinforcement Contingencies

Conditions in which the delivery of rewards or punishments are contingent upon a specific behavior, used to increase or decrease the likelihood of that behavior's occurrence.

Shaping

A method of teaching new behaviors by successively reinforcing behaviors that approximate the target behavior.

Higher-Order Conditioning

A type of learning where a new stimulus becomes associated with an already conditioned stimulus, resulting in the same conditioned response.