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  1. If x1[n] x1(z) with ROC = R1 and x2[n] x2(z) with ROC = R2 then ROC for x1[n] + x2[n] will be __________ (where Ri → Region of convergence and x1[n] and x2[n] are causal).

    2. A.
    R1 ∩ R2
    B.
    R1 ∪ R2
    C.
    (R1 ∪ R2) ∩ (R1)
    D.
    (R1 ∩ R2) ∪ (R1)

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    Answer : Option A

    Explanation :

    R1 ∩ R2, Suppose R1 for x1(n) be

    Then ROC for x1(n) + x2(n)

    R1 ∩ R2 (R1 < R2)

    Then ROC for x1(n) + x2(n)

    R1 ∩ R2(R1 < R2)

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