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)) using Taylor series expansion.
Converges to 000
Converges to 111
Converges absolutely
Diverges