Practice Example 2: Non-Converging Function (Invalid Case) - 15.5.2 | 15. Final Value Theorem | Mathematics - iii (Differential Calculus) - Vol 1
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the Final Value Theorem (FVT) help us find?

πŸ’‘ Hint: Think about what happens to functions over time.

Question 2

Easy

Can you name a condition that must be met for FVT to apply?

πŸ’‘ Hint: Consider how we classify poles.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

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

πŸ’‘ Hint: Think about functions and their end behavior.

Question 2

True or False: The function f(t) = sin(t) can be used with FVT.

  • True
  • False

πŸ’‘ Hint: Consider the behavior of the sine function over time.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove that FVT does not apply for the function f(t) = cos(2t) + 2.

πŸ’‘ Hint: Analyze the nature of cosine function.

Question 2

Given the function f(t) = e^(-t)cos(3t), determine whether FVT can be applied and justify your reasoning.

πŸ’‘ Hint: Consider the exponential factor influencing convergence.

Challenge and get performance evaluation