If x[n] = (1/3)|n| - (1/2)n u[n], then the region of convergence (ROC) of its z-transforms in the z-plane will be

1
\(\left| z \right| > 3\)
2
\(\frac{1}{3} < \left| z \right| < \frac{1}{2}\)
3
\(\frac{1}{2} < \left| z \right| < 3\)
4
\(\frac{1}{3} < \left| z \right|\)

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