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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Evaluate lim (3x + 1) as x approaches 2.
💡 Hint: Use direct substitution.
Question 2
Easy
Find lim (x^2) as x approaches 1.
💡 Hint: Substitute x = 1 into the function.
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 lim f(x) as x approaches a mean?
- It indicates a specific output
- It indicates a trend towards a value
- It indicates divergence
💡 Hint: Think about what limits convey.
Question 2
True or False: Indeterminate forms can lead to a clear limit without simplification.
- True
- False
💡 Hint: Remember examples where substitution leads to 0/0.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Evaluate lim (x^2 - 4)/(x - 2) as x approaches 2. Explain your reasoning and show steps.
💡 Hint: Factor out common terms before substituting.
Question 2
Prove that lim (1/tan(x)) as x approaches 0 exists and equals 1. Provide step-by-step justification.
💡 Hint: Work with limit identities to solve.
Challenge and get performance evaluation