Determine the convergence of the series ∑n=1∞(1n−ln(1+1n))\sum_{n=1}^{\infty} \left( \frac{1}{n} - \ln\left(1 + \frac{1}{n}\right) \right)∑n=1∞(n1−ln(1+n1)).
Converges to 0
Converges to a positive value
Diverges to infinity
Diverges by oscillation