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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
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
If the region of convergence of x1[n]+x2[n] is 1/>|z|<2/3, the r...
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.
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Most Upvoted Answer
If the region of convergence of x1[n]+x2[n] is 1/>|z|<2/3, the r...
The region of convergence (ROC) of the product of two sequences, x1[n] and x2[n], depends on the ROCs of the individual sequences and their common factors.

If the ROC of x1[n] is 1/R1 and the ROC of x2[n] is 1/R2, then the ROC of the product x1[n] x2[n] will be 1/R, where R is the intersection of R1 and R2.

In this case, if the ROC of x1[n] is 1/ and the ROC of x2[n] is 1/R2, the ROC of the product x1[n] x2[n] will be 1/R, where R is the intersection of and R2.

However, without knowing the specific values of and R2, it is not possible to determine the exact ROC of the product x1[n] x2[n].
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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|<3b)2/3>|z|<3c)3/2>|z|<3d)1/3>|z|<2/3Correct answer is option 'D'. Can you explain this answer?
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