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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) = 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.
Practice 3 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 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.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Evaluate the limit of f(x) = (x^2 - 1)/(x - 1) as x approaches 1.
💡 Hint: Factor the numerator to simplify.
Question 2
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.
Challenge and get performance evaluation