Using the Limit Comparison Test with bn=1n2b_n = \frac{1}{n^2}bn=n21, determine the convergence of ∑n=1∞1n2+5\sum_{n=1}^{\infty} \frac{1}{n^2 + 5}∑n=1∞n2+51.
The series converges.
The series diverges.
The test is inconclusive.
The limit is 0.