Let \(x\left[ n \right]={{\left( -\frac{1}{6} \right)}^{n}}u\left( n \right)-{{\left( -\frac{1}{4} \right)}^{n}}u\left( -n-1 \right).\) The region of convergence (ROC) of the Z-transform of x[n].
1
\(is~\left| z \right|>\frac{1}{6}\)
2
\(is~\left| z \right|<\frac{1}{6}\)
3
\(is\frac{1}{4}>\left| z \right|>\frac{1}{6}\)
4
does not exist