Find the Radius of Convergence and the Interval of Convergence $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { n + 2 }$

question 70

Multiple Choice

Find the radius of convergence and the interval of convergence of the power series. $\sum _ { n = 0 } ^ { \infty } \frac { x ^ { n } } { n + 2 }$

• A) \(R = 2 , I = [ - 2,2 )\)
• B) \(R = 1 , I = ( - 1,1 )\)
• C) \(R = 1 , I = [ - 1,1 )\)
• D) \(R = 2 , I = ( - 2,2 )\)

---

Definitions:

Ethical

Pertaining to or dealing with morals or the principles of morality; adhering to the accepted standards of conduct.

Late Night Television

Broadcast programming that airs late in the evening and typically includes talk shows, comedy sketches, and entertainment segments.

Sense of Humor

The ability or quality of finding humor in situations and expressing it, often making others laugh or enjoy humor.

Canadian Association

An organization or group formed in Canada for a specific purpose, typically to represent a particular profession, interest, or activity.