Conditional Convergence of Series

Given the series $S = \displaystyle\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n}$, which of the following series has the same convergence behavior as $S$?

I. $\displaystyle\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{2n}$

II. $\displaystyle\sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n + \sin(n)}$

III. $\displaystyle\sum_{n=1}^{\infty} \frac{(-1)^{n+1}\sqrt{n}}{n^{3/2}}$