What is the result of the Root Test for the series ∑n=1∞(n+12n)n\sum_{n=1}^{\infty} (\frac{n+1}{2n})^n∑n=1∞(2nn+1)n?
Limit is 1/21/21/2; converges.
Limit is 111; test fails.
Limit is 000; converges.
Limit is ∞\infty∞; diverges.