Practice - Direct Substitution
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Practice Questions
Test your understanding with targeted questions
Evaluate: lim_{x→3} (x^2 - 2x + 1)
💡 Hint: Evaluate the quadratic function by substitution.
Find: lim_{x→4} (x^2 - 16) / (x - 4)
💡 Hint: Factor the numerator first.
3 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the definition of a limit?
💡 Hint: Think about function behavior.
Can direct substitution always evaluate limits?
💡 Hint: Consider the scenarios of finding limits.
3 more questions available
Challenge Problems
Push your limits with advanced challenges
Evaluate the following limit: lim_{x→3} (x^3 - 27)/(x - 3) and describe how you resolved it.
💡 Hint: Factor the numerator and look for common terms.
Determine lim_{x→0} (sin(x)/x). What does this limit approach as x gets closer to 0?
💡 Hint: Use small-angle approximations to analyze the behavior.
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