For What Values of X Does the Series Converge Absolutely $$\sum _ { n = 1 } ^ { \infty } \frac { x ^ { n } } { \sqrt { n ^ { 3 } + 10 } }$$

question 211

Multiple Choice

For what values of x does the series converge absolutely?
- $$\sum _ { n = 1 } ^ { \infty } \frac { x ^ { n } } { \sqrt { n ^ { 3 } + 10 } }$$

• A) \(- 1 < x \leq 1\)
• B) \(- 1 \leq x \leq 1\)
• C) \(- 1 < x < 1\)
• D) \(- 1 \leq x < 1\)

---

Definitions:

Reciprocal Liking

The phenomenon where people tend to like others who like them back.

Proximity

The physical closeness or distance between people or objects, often influencing relationships and interactions.

Physical Availability

The degree to which a product or service can be obtained by the consumer, often relating to its distribution, placement, and stock levels in the marketplace.

Actor-Observer Effect

A cognitive bias in which people tend to attribute their own actions to external factors and others' actions to their personality or disposition.