Use the Root Test to Determine If the Series Converges $$\sum _ { n = 1 } ^ { \infty } \frac { n ^ { n } } { 10 ^ { n ^ { 2 } } }$$

question 217

Multiple Choice

Use the Root Test to determine if the series converges or diverges.
- $$\sum _ { n = 1 } ^ { \infty } \frac { n ^ { n } } { 10 ^ { n ^ { 2 } } }$$

• A) Diverges
• B) Converges

---

Definitions:

Person-Environment Psychology

A field of psychology that examines the interaction between individuals and their physical, social, and cultural environments, and how these interactions affect behavior and development.

Reciprocal Relationship

A mutual relationship where both parties benefit and influence each other, such as the interplay between work and personal life.

Differentiation

The process of distinguishing or creating differences between products, services, or concepts, often to create a competitive advantage.

Congruence

The degree of agreement, harmony, or similarity between two or more aspects, such as personal values and career choices.