Find the Radius of Convergence and the Interval of Convergence $$\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x - 8 ) ^ { n } } { \sqrt { n } }$$

question 46

Multiple Choice

Find the radius of convergence and the interval of convergence of the power series. $$\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x - 8 ) ^ { n } } { \sqrt { n } }$$

• A) \(R = 1 , l = [ 7,9 )\)
• B) \(R = 1 , I = ( 7,9 ]\)
• C) \(R = 8 , l = [ - 8,8 )\)
• D) \(R = 8 , l = ( - 8,8 )\)

---

Definitions:

Public Good

A product that one individual can consume without reducing its availability to another individual and from which no one is excluded.

Lighthouse

A tall structure with a powerful light at the top, located near or on the shore, providing navigation guidance to maritime pilots at sea or on inland waterways.

Willingness To Pay

The maximum amount that a buyer will pay for a good.

Public Park

An area of natural, semi-natural or planted space set aside for human enjoyment and recreation or for the protection of wildlife or natural habitats.