Apply the Root Test to ∑n=1∞(n2n+1)n\sum_{n=1}^{\infty} \left(\frac{n}{2n+1}\right)^n∑n=1∞(2n+1n)n. What is limn→∞ann\lim_{n \to \infty} \sqrt[n]{a_n}limn→∞nan?
0
1/2
1
∞\infty∞