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The Laplace transform of the unit step u(t) is which?
As for Re(s) < 0
B1 for all s
C1/s for Re(s) > 0
De^{-s} for s ≠ 0
Answer & Solution
Correct answer: C. 1/s for Re(s) > 0
L{u(t)} = ∫₀^∞ e^{-st} dt = 1/s, ROC Re(s)>0. Foundational pair in Oppenheim Ch.9 + every linear systems text.
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