Determine Whether the Series Is Convergent or Divergent $\sum _ { n = 1 } ^ { \infty } \frac { \tan ^ { - 1 } n } { n \sqrt { n + 6 } }$

question 133

Short Answer

Determine whether the series is convergent or divergent. $\sum _ { n = 1 } ^ { \infty } \frac { \tan ^ { - 1 } n } { n \sqrt { n + 6 } }$

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Definitions:

Group Polarization

The phenomenon whereby a group's dominant viewpoint becomes stronger or more extreme after group discussions.

Nonverbal Communication

The process of conveying a message without the use of words, which may include facial expressions, body language, gestures, and tone of voice.

Selective Perception

The process by which individuals perceive what they want to in media messages while ignoring opposing viewpoints.

Representativeness Heuristic

A cognitive shortcut that people use to categorize information based on how similar it is to a typical case.