Practice - Concept of Limit
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Practice Questions
Test your understanding with targeted questions
What is the limit of f(x) = 3x as x approaches 1?
💡 Hint: Simply substitute x = 1 into the function.
True or False: Limits can be used to find the value of functions at points where they are undefined.
💡 Hint: Think about how limits work with functions.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the limit of a function as x approaches a indicate?
💡 Hint: Think about what happens to the function as it gets close to a.
True or False: The limit can help define continuity at a point.
💡 Hint: Consider the relationship between limits and continuity.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Using epsilon-delta definitions, prove that lim(x→a) f(x) = L for a specific function f(x).
💡 Hint: Start by assuming |f(x) - L| < epsilon when |x-a| < delta.
Evaluate the limit lim(x→a) (x^3 - a^3)/(x-a).
💡 Hint: Factor the numerator and simplify before substituting.
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Reference links
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