Practice Limits (4.2) - Calculus - ICSE 11 Maths
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Limits

Practice - Limits

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 Hint: Directly substitute x = 4 into the function.

Question 2 Easy

Evaluate lim x→0 (x²).

💡 Hint: Think about what happens to x² as x approaches 0.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does 'lim' represent in mathematics?

A function
A point
A limit

💡 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

💡 Hint: Recall the definition of continuity.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Find lim x→4 (x² - 16)/(x - 4) using any method.

💡 Hint: Look for factors that can be canceled.

Challenge 2 Hard

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

💡 Hint: Use L'Hôpital’s rule if stuck.

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