Use the Limit Comparison Test to Determine If the Series $$\sum _ { n = 1 } ^ { \infty } \frac { 3 } { 9 + 8 n ( \ln n ) ^ { 2 } }$$

question 5

Multiple Choice

Use the limit comparison test to determine if the series converges or diverges.
- $$\sum _ { n = 1 } ^ { \infty } \frac { 3 } { 9 + 8 n ( \ln n ) ^ { 2 } }$$

• A) Converges
• B) Diverges

---

Definitions:

Better-than-average Effect

A cognitive bias where individuals overestimate their own qualities and abilities relative to others.

Self-serving Bias

A common tendency for individuals to attribute positive outcomes to their own character but attribute negative outcomes to external factors.

Narcissism

A personality trait characterized by an inflated sense of self-importance, need for admiration, and lack of empathy for others.

Learned Helplessness

A scenario where a person is burdened with feelings of inability to exert control, typically following a harrowing event or successive failures.