Determine the convergence of the series ∑n=1∞(n+1n)n2\sum_{n=1}^{\infty} (\frac{n+1}{n})^{n^2}∑n=1∞(nn+1)n2 using the Root Test.
Converges because L=1e<1L = \frac{1}{e} < 1L=e1<1
Diverges because L=e>1L = e > 1L=e>1
Converges because L=0<1L = 0 < 1L=0<1
The test is inconclusive as L=1L = 1L=1