Answer:
B
Step-by-step explanation:
This is a ratio of polynomials. As n approaches infinity, an approaches 4n / n⁸ = 4 / n⁷, which is a convergent p-series.
Using Limit Comparison Test:
an = (2 + 4n) / (1 + n²)⁴
bn = 4 / n⁷
lim(n→∞) an / bn = 1
The limit is greater than 0, and bn converges, so an also converges.
