Laplace Transform

Step 1: Understanding final value theorem.
The final value theorem is a concept from Laplace transform used to determine the long-term behavior of a system. It helps find the value of the system output as time approaches infinity.
Step 2: Mathematical expression.
If is the Laplace transform of , then the final value theorem states:
provided all poles of lie in the left half of the -plane.
Step 3: Eliminating incorrect options.
Initial value is obtained using the initial value theorem, not the final value theorem.
Transient behavior refers to short-term response, not steady state.
Step 4: Final conclusion.
Hence, the final value theorem is used to determine the steady state value of the system output.