Find the Radius of Convergence and the Interval of Convergence

question 6

Multiple Choice

Find the radius of convergence and the interval of convergence of the power series. $\sum _ { n = 1 } ^ { \infty } \frac { 3 \cdot 6 \cdot 9 \cdot \cdots \cdot 3 n } { 4 \cdot 7 \cdot 10 \cdot \cdots \cdot ( 3 n + 1 ) } x ^ { 2 n + 1 }$

• A) \(R = \infty , I = ( - \infty , \infty )\)
• B) \(R = 1 , I = ( - 1,1 )\)
• C) \(R = 0 , I = \{ 0 \}\)
• D) \(R = 1 , I = [ - 1,1 ]\)

Understand the various forms and characteristics of mental disorders.

Identify the types of disorders that increase the risk of suicide.

Comprehend the terminologies and root words used in psychopathology.

Recognize the mental disorders associated with an inability to discern reality.

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Definitions:

Hyperactivity

A condition characterized by abnormally increased activity levels and movements, often with an inability to maintain focus or calmness.

Autism

A developmental disorder characterized by difficulties with social interaction and communication, and by restricted or repetitive patterns of thought and behavior.

Chromosomes

are long strands of DNA and proteins found in the nucleus of cells, carrying genetic information.