Master Limits & Continuity

Learn everything from Limits & Continuity, then test your knowledge with 170+ practice questions

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“The lessons and the quizzes are super-helpful and easy to understand. Krista is an awesome educator, and this course is top class. 5/5 - Highly recommend for high schoolers.”

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Course Summary

Learn everything you need to know to get through Limits & Continuity and prepare you to go into Derivatives with a solid understanding of what’s going on. Video explanations, text notes, and quiz questions that won’t affect your class grade help you “get it” in a way most textbooks never explain.

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Course outline

The curriculum includes:

Idea of the limit
Formal definition of the limit
- One-sided limits
- Proving that the limit doesn't exist
- Precise definition of the limit (epsilon-delta definition)
Combinations and composites
- Limits of combinations
- Limits of composites
Continuity
- Continuity and types of discontinuities
- Removable discontinuities and nonremovable discontinuities
- Jump, infinite/essential, and endpoint discontinuities

Intermediate value theorem
- Intermediate value theorem (IVT)
- IVT with an interval
- IVT without an interval
Solving limits
- Solving with substitution
- Solving with factoring
- Solving with conjugate method
- Infinite limits (vertical asymptotes)
- Limits at infinity (horizontal asymptotes)
- Crazy graphs
- Trigonometric limits
- Making the function continuous
Squeeze theorem
- Squeeze theorem
- Limit of an inequality