Find the Radius of Convergence and the Interval of Convergence $$\sum _ { n = 0 } ^ { \infty } \left( \frac { n x } { 6 } \right) ^ { n }$$

question 19

Multiple Choice

Find the radius of convergence and the interval of convergence of the power series. $$\sum _ { n = 0 } ^ { \infty } \left( \frac { n x } { 6 } \right) ^ { n }$$

• A) \(R = 0 , I = \{ 0 \}\)
• B) \(R = \infty , I = ( - \infty , \infty )\)
• C) \(R = 6 , I = [ - 6,6 ]\)
• D) \(R = 6 , I = ( - 6,6 )\)

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Human Behavior

The range of actions and mannerisms made by individuals in conjunction with themselves or their environment, which includes the other systems or organisms around as well as the physical environment.

Human Personality

The combination of characteristics or qualities that form an individual's distinctive character, influencing their patterns of thought, feelings, and behavior.

Sigmund Freud

An Austrian neurologist who founded the discipline of psychoanalysis, a method for treating psychopathology through dialogue between a patient and a psychoanalyst.

Personality Systems

The organized set of personality traits and mechanisms within the individual that are influenced by and interact with the external environment.