Practice - Algebraic Evaluation of Limits
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Evaluate: limx→3(x2 - 2x + 1)
💡 Hint: Use direct substitution.
Evaluate: limx→4 (x2 - 16)/(x - 4)
💡 Hint: Factor the expression first.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the limit of f(x) = 3x + 1 as x approaches 2?
💡 Hint: Remember to substitute directly into the function.
True or False: If limx→a f(x) = L and limx→a f(x) does not exist, then f(x) cannot approach L.
💡 Hint: Think about the distinction between existing and approaching a value.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Evaluate limx→0 sin(x)/x.
💡 Hint: Consider using L'Hôpital's Rule.
Prove that limx→∞(2x² + 3x)/(5x² + x) = 2/5.
💡 Hint: Look at the leading coefficients of the polynomials.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.