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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Evaluate lim (x²) as x approaches 3.
💡 Hint: Direct substitution will work here.
Question 2
Easy
Use a table to estimate lim (x - 1) as x approaches 1.
💡 Hint: Choose values close to 1.
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 a limit?
- True
- False
💡 Hint: Remember, it’s about approaching a value, not necessarily reaching it.
Question 2
What happens when you encounter an indeterminate form?
- You can directly substitute
- Simplify the expression
- The limit does not exist
💡 Hint: Look for forms like 0/0 or ∞/∞.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Evaluate the limit lim (sin(x)/x) as x approaches 0 using numerical values around 0.
💡 Hint: Consider evaluating with small values like 0.1 and -0.1.
Question 2
Consider the function f(x) = 1/(x-3). Why does the limit not exist as x approaches 3?
💡 Hint: Check the behavior from both sides of the approach.
Challenge and get performance evaluation