If the region of convergence of x1[n]+x2[n] is 1/>|z|<2/3, the region of convergence of x1[n]-x2[n] includes:
A. 1/3>|z|<3
B. 2/3>|z|<3
C. 3/2>|z|<3
D. 1/3>|z|<2/3
Answer:D
If the region of convergence of x1[n]+x2[n] is 1/>|z|<2/3, the region of convergence of x1[n]-x2[n] includes:
A. 1/3>|z|<3 B. 2/3>|z|<3 C. 3/2>|z|<3 D. 1/3>|z|<2/3
Explanation: Region of Convergence is the region for which the values of the roots in z transform are lying in the function and ROC remains the same for addition and subtraction in z-domain.