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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the notation lim x→3 f(x) = 5 signify?
💡 Hint: Think about what happens to the function as we near x = 3.
Question 2
Easy
Is it possible for a limit to exist if the function is not defined at that point?
💡 Hint: Consider situations with holes in graphs.
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 notation for limit?
- lim x→a f(x) = L
- lim f(x) = L
- f(x) → L as x → a
💡 Hint: Recall the standard expression used in calculus.
Question 2
True or False: Limits can only exist if the function is defined at that point.
- True
- False
💡 Hint: Think about holes in the graph.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the limit: lim x→2 (x^2 - 4)/(x - 2). Explain your reasoning.
💡 Hint: Consider how to simplify the expression before applying the limit.
Question 2
Evaluate: lim x→infinity (1/x). Discuss the significance of the result.
💡 Hint: Think about how the terms behave as x increases without bound.
Challenge and get performance evaluation