Apply the Root Test to ∑n=1∞(n3n+1)n\sum_{n=1}^{\infty} \left(\frac{n}{3n+1}\right)^n∑n=1∞(3n+1n)n. What is the result?
The series converges.
The series diverges.
The test is inconclusive.
The series converges to 0.