Determine Whether the Series Converges or Diverges $\sum _ { n = 2 } ^ { \infty } \frac { ( - 1 ) ^ { n } \ln n } { 9 ^ { n } }$

question 79

Short Answer

Determine whether the series converges or diverges. $\sum _ { n = 2 } ^ { \infty } \frac { ( - 1 ) ^ { n } \ln n } { 9 ^ { n } }$

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Definitions:

Reticular Activating System

A network of neurons located in the brainstem that plays a key role in regulating wakefulness and sleep-wake transitions.

Hypothalamus

A region of the brain that controls an immense number of bodily functions, including temperature regulation, thirst, hunger, sleep, mood, and the release of other hormones within the body.

Pituitary Gland

A small endocrine gland located at the base of the brain, responsible for releasing hormones that regulate various bodily functions.

Chemical Signals

Molecules released by cells that are used to communicate with other cells, often playing a role in the regulation of physiological processes.