GATE EC 2016 Set 3 Q31 — Complex Analysis

The ROC (region of convergence) of the $z$-transform of a discrete-time signal is represented by the shaded region in the $z$-plane. If the signal $x[n]=(2.0)^{\mid n\mid},-\infty<n<+\infty$, then the ROC of its $z$-transform is represented by