Use the Limit Comparison Test (If Possible) to Determine Whether $\sum _ { n = 1 } ^ { \infty } \frac { 2 n ^ { 2 } - 7 } { 7 n ^ { 7 } + 3 n + 2 }$

question 57

Multiple Choice

Use the Limit Comparison Test (if possible) to determine whether the series $\sum _ { n = 1 } ^ { \infty } \frac { 2 n ^ { 2 } - 7 } { 7 n ^ { 7 } + 3 n + 2 }$ converges or diverges.

• A) converges
• B) diverges

---

Definitions:

Exophthalmos

A condition where the eyes bulge outwards beyond the normal orbital boundaries, commonly associated with thyroid disease.

Hyperthyroid Disease

A condition characterized by the overproduction of thyroid hormones, leading to accelerated metabolism and associated symptoms.

Strabismus

A condition characterized by the misalignment of the eyes, which can lead to double vision or impaired depth perception.

Mobility Issues

Challenges or limitations in moving independently from place to place, often due to injury, disability, or aging.