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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Evaluate: limx→3(x2 - 2x + 1)
💡 Hint: Use direct substitution.
Question 2
Easy
Evaluate: limx→4 (x2 - 16)/(x - 4)
💡 Hint: Factor the expression first.
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 is the limit of f(x) = 3x + 1 as x approaches 2?
- 5
- 6
- 7
💡 Hint: Remember to substitute directly into the function.
Question 2
True or False: If limx→a f(x) = L and limx→a f(x) does not exist, then f(x) cannot approach L.
- True
- False
💡 Hint: Think about the distinction between existing and approaching a value.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Evaluate limx→0 sin(x)/x.
💡 Hint: Consider using L'Hôpital's Rule.
Question 2
Prove that limx→∞(2x² + 3x)/(5x² + x) = 2/5.
💡 Hint: Look at the leading coefficients of the polynomials.
Challenge and get performance evaluation