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:

Shareholder Action

Activities taken by stockholders to influence corporate governance, policies, or management, often through voting or lawsuits.

Management Buyout

A management buyout is a transaction where a company's existing managers acquire a significant portion or all of the company from its owners.

Cash-Out Combination

A financial strategy involving the refinance of a mortgage by taking out a loan that is larger than the existing one, providing the borrower with cash from the equity built up in the property.

Fairness

implies impartial and just treatment or behavior without favoritism or discrimination.