Practice Example 2: Non-converging Function (invalid Case) (15.5.2)

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6 sample questions

Question 1.
What does the Final Value Theorem (FVT) help us find?
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Think about what happens to functions over time.
Question 2.
Can you name a condition that must be met for FVT to apply?
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Consider how we classify poles.
3Question 3.
What is the condition for a function to be applicable under FVT?
- Must not oscillate
- All poles must be in the right half-plane
- Must diverge as t approaches infinity
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Think about functions and their end behavior.
4Question 4.
True or False: The function f(t) = sin(t) can be used with FVT.
- True
- False
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Consider the behavior of the sine function over time.
Question 5.
Prove that FVT does not apply for the function f(t) = cos(2t) + 2.
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Analyze the nature of cosine function.
Question 6.
Given the function f(t) = e^(-t)cos(3t), determine whether FVT can be applied and justify your reasoning.
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Consider the exponential factor influencing convergence.

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