AP Calculus Unit 1 - Limits and Continuity

Master the fundamental concepts of limits and continuity through this comprehensive 6-hour video playlist covering AP Calculus Unit 1 topics essential for both AB and BC exams. Learn to evaluate limits using algebraic, numerical, and graphical methods while exploring one-sided limits, infinite limits, and their relationship to vertical and horizontal asymptotes. Develop proficiency in analyzing continuity of functions, identifying different types of discontinuities, and working with piecewise functions to determine continuity at specific points. Study the Intermediate Value Theorem and its applications, along with special trigonometric limits including sin x/x and (1–cos x)/x. Practice with the Squeeze Theorem and solve AP-style problems that mirror actual exam format and difficulty. Each video provides step-by-step explanations with clear examples, covering topics from basic limit concepts and limit laws to advanced applications involving absolute value functions and trigonometric limits. Build a solid foundation for derivatives by understanding tangent and velocity problems that introduce calculus concepts, making this playlist ideal for AP Calculus exam preparation, college-level Calculus 1 review, or anyone seeking thorough understanding of limits and continuity before advancing to more complex calculus topics.