15.5.2 - Example 2: Non-Converging Function (Invalid Case)
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Practice Questions
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What does the Final Value Theorem (FVT) help us find?
💡 Hint: Think about what happens to functions over time.
Can you name a condition that must be met for FVT to apply?
💡 Hint: Consider how we classify poles.
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Interactive Quizzes
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What is the condition for a function to be applicable under FVT?
💡 Hint: Think about functions and their end behavior.
True or False: The function f(t) = sin(t) can be used with FVT.
💡 Hint: Consider the behavior of the sine function over time.
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Challenge Problems
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Prove that FVT does not apply for the function f(t) = cos(2t) + 2.
💡 Hint: Analyze the nature of cosine function.
Given the function f(t) = e^(-t)cos(3t), determine whether FVT can be applied and justify your reasoning.
💡 Hint: Consider the exponential factor influencing convergence.
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