Use the Comparison Test to Determine Whether the Infinite Series $\sum _ { k = 1 } ^ { \infty } \frac { 1 } { 2 + e ^ { k } }$

question 75

Short Answer

Use the comparison test to determine whether the infinite series $\sum _ { k = 1 } ^ { \infty } \frac { 1 } { 2 + e ^ { k } }$ is convergent or divergent.
Enter just "convergent" or "divergent".

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Definitions:

Perception Of Emotions

The process by which individuals recognize and interpret emotions in themselves and others, often influencing behavior and decision-making.

Nonverbal Behaviour

Communication expressed through body movements, facial expressions, gestures, posture, and tone of voice, rather than through spoken words.

Emotions

Complex psychological states that involve three distinct components: a subjective experience, a physiological response, and a behavioral or expressive response.

General Cognitive Ability

Describes the overall mental capability involving reasoning, problem-solving, learning, and understanding complex ideas.