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

question 98

Multiple Choice

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

• A) \([ - 1,1 ]\)
• B) \(( - 1,1 )\)
• C) \(( - 1,1 ]\)
• D) diverges everywhere
• E) \([ - 1,1 )\)

---

Definitions:

Losing Value

A decrease in the worth or market value of an asset over time.