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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Evaluate: lim_{x→3} (x^2 - 2x + 1)
💡 Hint: Evaluate the quadratic function by substitution.
Question 2
Easy
Find: lim_{x→4} (x^2 - 16) / (x - 4)
💡 Hint: Factor the numerator first.
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 is the definition of a limit?
💡 Hint: Think about function behavior.
Question 2
Can direct substitution always evaluate limits?
- True
- False
💡 Hint: Consider the scenarios of finding limits.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Evaluate the following limit: lim_{x→3} (x^3 - 27)/(x - 3) and describe how you resolved it.
💡 Hint: Factor the numerator and look for common terms.
Question 2
Determine lim_{x→0} (sin(x)/x). What does this limit approach as x gets closer to 0?
💡 Hint: Use small-angle approximations to analyze the behavior.
Challenge and get performance evaluation