For the power series ∑n=2∞(−1)nxnnln(n)\sum_{n=2}^{\infty} \frac{(-1)^n x^n}{n \ln(n)}∑n=2∞nln(n)(−1)nxn, determine the interval of convergence.
(−1,1)(-1, 1)(−1,1)
[−1,1)[-1, 1)[−1,1)
[−1,1][-1, 1][−1,1]
(−1,1](-1, 1](−1,1]