Determine Whether the Given Series Converges or Diverges $\sum _ { n = 0 } ^ { \infty } \frac { 9 n ^ { 2 } + 5 } { 2 n ^ { 2 } + 6 }$

question 88

Multiple Choice

Determine whether the given series converges or diverges. If it converges, find its sum. $\sum _ { n = 0 } ^ { \infty } \frac { 9 n ^ { 2 } + 5 } { 2 n ^ { 2 } + 6 }$

• A) \(\frac { 7 } { 4 }\)
• B) Diverges
• C) \(\frac { 9 } { 2 }\)
• D) \(\frac { 5 } { 6 }\)

---

Definitions:

Association Areas

Areas of the cerebral cortex that are not involved in primary motor or sensory functions; rather, they are involved in higher mental functions, such as learning, remembering, thinking, speaking, and integrating information.

Neural Networks

Computational models inspired by the human brain's network of neurons, used in machine learning and artificial intelligence for pattern recognition and data analysis.

Interneurons

Neurons that transmit impulses between other neurons, especially as part of reflex arcs or neural networks.

Sympathetic Nervous System

part of the autonomic nervous system that prepares the body for rapid action in emergencies; "fight or flight" response.