Find the Radius of Convergence and the Interval of Convergence $$\sum _ { n = 0 } ^ { \infty } \frac { ( 7 x ) ^ { n } } { n ! }$$

question 58

Multiple Choice

Find the radius of convergence and the interval of convergence of the power series. $$\sum _ { n = 0 } ^ { \infty } \frac { ( 7 x ) ^ { n } } { n ! }$$

• A) \(R = 7 , I = ( - 7,7 )\)
• B) \(R = 0 , I = \{ 0 \}\)
• C) \(R = 7 , I = [ - 7,7 ]\)
• D) \(R = \infty , I = ( - \infty , \infty )\)

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Definitions:

DSM-IV

The fourth edition of the Diagnostic and Statistical Manual of Mental Disorders, a standardized classification manual used by mental health professionals to diagnose mental disorders.

Alcoholic Cirrhosis

A condition resulting from chronic liver damage due to excessive alcohol consumption, leading to scarring and liver failure.

Axis I

A classification found within the DSM-IV (Diagnostic and Statistical Manual of Mental Disorders, 4th Edition) that's used for reporting all the major psychological disorders, except personality disorders and developmental disorders.

Axis II

A categorization used in earlier versions of the Diagnostic and Statistical Manual of Mental Disorders (DSM) for personality disorders and intellectual disabilities.