Find the Radius of Convergence of the Series $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { n } ( x + 1 ) ^ { n } } { 3 ^ { n } }$

question 118

Multiple Choice

Find the radius of convergence of the series $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { n } ( x + 1 ) ^ { n } } { 3 ^ { n } }$ .

• A)0
• B)2
• C)3
• D)4
• E) \(\frac { 1 } { 2 }\)
• F)1
• G)5
• H) \(\infty\)

---

Definitions:

Modern Forms

Contemporary or current versions, adaptations, or interpretations of traditional or classical themes or objects.

Racism

Prejudice and discrimination against people based on their ethnicity or race.

Patronising Attitudes

Refers to the condescending manner or behavior exhibited by an individual towards others, often implying that they are superior in some way.

Physically Handicapped

A term referring to individuals who have a condition that substantially limits one or more of their major life activities due to physical impairment.