Practice Limits - 4.2 | 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

What is the limit of f(x) = x + 3 as x approaches 4?

๐Ÿ’ก Hint: Directly substitute x = 4 into the function.

Question 2

Easy

Evaluate lim xโ†’0 (xยฒ).

๐Ÿ’ก Hint: Think about what happens to xยฒ as x approaches 0.

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 does 'lim' represent in mathematics?

  • A function
  • A point
  • A limit

๐Ÿ’ก Hint: Think about the definition of limits.

Question 2

True or False: A function is continuous at a point if the limit equals the value at that point.

  • True
  • False

๐Ÿ’ก Hint: Recall the definition of continuity.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Find lim xโ†’4 (xยฒ - 16)/(x - 4) using any method.

๐Ÿ’ก Hint: Look for factors that can be canceled.

Question 2

Prove that lim xโ†’0 (tan(x)/x) = 1 using Taylor series or basic limit properties.

๐Ÿ’ก Hint: Use L'Hรดpitalโ€™s rule if stuck.

Challenge and get performance evaluation