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GATE EC 2017 Set 2 — Question 34

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NAT+1 / -0MediumSystem Function H(s) & H(z)LTI SystemsSignals & SystemsDefinite & Improper IntegralsCalculusEngineering Mathematics

Engineering Mathematics → Calculus → Definite & Improper Integrals

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Question

The transfer function of a causal LTI system is H(s)=1/sH(s) = 1/s. If the input to the system is x(t)=[sin⁡(t)/πt]u(t)x(t) = [\sin(t)/\pi t] u(t), where u(t)u(t) is a unit step function, the system output y(t)y(t) as t→∞t\to \infty is
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