Find the radius of convergence and the interval of convergence of the power series. 
Definitions:
Schizophrenia
A mental disorder characterized by abnormal behavior, strange speech, and a decreased ability to understand reality.
Multiple Personality Defense
A controversial legal defense, sometimes associated with Dissociative Identity Disorder, where an individual claims their criminal behavior was due to the actions of an alternate personality.
Personality
The combination of characteristics or qualities that form an individual's distinctive character, influencing how they think, feel, and behave in various situations.
Trait
A characteristic of an individual, describing a habitual way of behaving, thinking, or feeling.
Q1: Find the radius of convergence and the
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