Correct answer: (D) The imaginary axis lies in the ROCs of both transforms
Explanation
For the right-sided decaying exponential, X₁=1/(s+1) with ROC Re(s)>−1. For the left-sided exponential, X₂=1/(1−s) with ROC Re(s)<1. Each contains the imaginary axis Re(s)=0. Neither is confined to the half-plane suggested by B or C, and A is too restrictive. Thus D.
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