Practice - Conceptual Idea
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Practice Questions
Test your understanding with targeted questions
Evaluate lim as x approaches 3 of (x^2 - 2x + 1).
💡 Hint: Substitute x = 3 into the function.
Evaluate lim as x approaches 4 of (x^2 - 16)/(x - 4).
💡 Hint: Factor the numerator and then substitute.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a limit?
💡 Hint: Think about how the function behaves at a specific input.
True or False: If lim as x approaches c of f(x) exists, then f(c) must be defined.
💡 Hint: Remember, limits refer to the behavior approaching a point.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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Reference links
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