Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Infinite Seriesmedium
0:00.0

Determine the convergence of ∑n=1∞nn2+1\sum_{n=1}^{\infty} \frac{\sqrt{n}}{n^2+1}∑n=1∞​n2+1n​​ using the Limit Comparison Test. Compare with bn=1n3/2b_n = \frac{1}{n^{3/2}}bn​=n3/21​. What is lim⁡n→∞anbn\lim_{n \to \infty} \frac{a_n}{b_n}limn→∞​bn​an​​?