15.3.2. Conditions for Applying Final Value Theorem

Try these first

1. 1.

   What is the Final Value Theorem?

   Hint

   Refer to the definition discussed.

2. 2.

   List one of the conditions for applying the FVT.

   Hint

   Think about stability in the equations.

3. 3.

   What does the Final Value Theorem calculate?

   • The initial value
   • Steady-state value
   • The average value over time

   Hint

   Remember what final values mean in the context of systems.

4. 4.

   If poles of sF(s) are in the right half-plane, is FVT valid?

   • True
   • False

   Hint

   Visualize the complex plane and the implications for stability.

5. 5.

   Given f(t) = cos(t), analyze the conditions for applying FVT and explain the results.

   Hint

   Consider how oscillation affects convergence.

6. 6.

   Consider f(t) = e^(2t). Discuss whether FVT can be applied and justify your reasoning.

   Hint

   Focus on the exponential growth in your analysis.