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What is the final value of the function f(t) = e-2t sin 5t u(t)?

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Final value theorem is applicable to the system with poles in left half of s-plane i.e., stable system.

A/C to final value theorem

In time domain,

Given signal is f(t) = e-2t sin(5t) u(t)

A/C to laplace theorem,

∴ F(∞) = 

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