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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Evaluate lim as x approaches 3 of (x^2 - 2x + 1).
💡 Hint: Substitute x = 3 into the function.
Question 2
Easy
Evaluate lim as x approaches 4 of (x^2 - 16)/(x - 4).
💡 Hint: Factor the numerator and then substitute.
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 a limit?
- The value of a function
- The behavior of a function near a point
- The slope of a function
💡 Hint: Think about how the function behaves at a specific input.
Question 2
True or False: If lim as x approaches c of f(x) exists, then f(c) must be defined.
- True
- False
💡 Hint: Remember, limits refer to the behavior approaching a point.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Evaluate the limit: lim as x approaches 0 of (sin(x)/x). What does this tell us?
💡 Hint: Use the squeeze theorem or L'Hôpital's rule if you are struggling.
Question 2
Determine the limit: lim as x approaches 2 of (x² - 4)/(x - 2) and explain any necessary transformations.
💡 Hint: Think to factor or use L'Hôpital’s rule.
Challenge and get performance evaluation