Find the Radius of Convergence Of $\sum _ { n = 1 } ^ { \infty } \frac { 2 \cdot 5 \cdot 8 \cdots ( 3 n - 1 ) } { n } x ^ { n }$

question 281

Short Answer

Find the radius of convergence of $\sum _ { n = 1 } ^ { \infty } \frac { 2 \cdot 5 \cdot 8 \cdots ( 3 n - 1 ) } { n } x ^ { n }$ .

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Definitions:

Freudian Cathartic Hypothesis

A theory suggesting that releasing and confronting pent-up emotions through talking about one’s problems can lead to psychological healing.

Psychoactive Drugs

Substances that, when taken into the body, alter brain function, resulting in temporary changes in perception, mood, consciousness, and behavior.

Central Nervous System

The part of the nervous system that consists of the brain and spinal cord, serving as the main control center for processing and sending out information throughout the body.

Perception

The process by which individuals organize and interpret their sensory impressions to give meaning to their environment.