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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Evaluate the limit: lim as x approaches 2 of (1/(x-2))
💡 Hint: Consider how the function behaves as x approaches 2 from both sides.
Question 2
Easy
What does it mean if the limit of a function at a certain point is +∞?
💡 Hint: Think about the graph of the function near that point.
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 does it mean when a limit approaches +∞?
- The function approaches a numerical value
- The function approaches infinity
- The function approaches zero
💡 Hint: Visualize a graph that goes upwards.
Question 2
True or False: A vertical asymptote indicates that the limit of the function approaches a real number.
- True
- False
💡 Hint: Consider the definition of vertical asymptotes.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider the function f(x) = (x² - 1)/(x - 1). Determine the limit as x approaches 1, including any infinite behaviors.
💡 Hint: What do you get after factoring?
Question 2
Evaluate whether the limit of f(x) = 2/x as x approaches 0 exists and explain your reasoning.
💡 Hint: Consider the behavior of the graph near x = 0.
Challenge and get performance evaluation