Practice Calculus (4) - Calculus - ICSE 11 Maths
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Calculus

Practice - Calculus

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the limit of f(x) = 3x as x approaches 2?

💡 Hint: Substitute 2 into the equation.

Question 2 Easy

Is the function f(x) = 1/(x-1) continuous at x=1?

💡 Hint: Check if you can substitute x=1 into the function.

3 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the limit of a function define?

The function's actual value
Behavior of the function near a point
Its derivative

💡 Hint: Think about what limits indicate regarding function behavior.

Question 2

True or False: A function can be continuous at a point but not differentiable at that point.

True
False

💡 Hint: Recall the definitions of continuity and differentiability.

3 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Evaluate the limit of f(x) = (x^2 - 1)/(x - 1) as x approaches 1.

💡 Hint: Factor the numerator to simplify.

Challenge 2 Hard

Calculate the derivative of the function f(x) = 3x^5 - 7x^3 + 4. What does the result represent?

💡 Hint: Apply the power rule for each term.

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