Practice Continuity - 4.3 | 4. Calculus | ICSE Class 11 Maths | Allrounder.ai
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define continuity in mathematical terms.

πŸ’‘ Hint: Think about the concept of limits.

Question 2

Easy

What is a simple example of a continuous function?

πŸ’‘ Hint: Consider polynomial functions.

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

Which of the following describes continuity at a point?

  • The graph is smooth
  • The limit does not exist
  • The function value is undefined

πŸ’‘ Hint: Think about how the graph looks.

Question 2

True or False: A polynomial function is continuous everywhere.

  • True
  • False

πŸ’‘ Hint: Recall properties of polynomial functions.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Describe a real-world scenario where continuity is crucial for understanding a phenomenon and illustrate it with an example.

πŸ’‘ Hint: Think about how smooth and continuous functions relate to physical movement.

Question 2

What happens to the continuity of a function at a point where there's a removable discontinuity? Explain using an example.

πŸ’‘ Hint: Focus on how adjustments can change function behavior.

Challenge and get performance evaluation