Limits and Continuity
Learning Time: 6-18 hours
Content: Limits and continuity are the subjects that examine the behavior and continuity of functions. The 2025 curriculum includes the definition of limits, their calculations, and conditions for continuity. This topic is only found in the AYT curriculum.
- Basic Concepts:
- Limit Definition (lim x→af(x))
- Types of Uncertainty (0/0, ∞/∞)
- Conditions for Continuity (Value, Limit, Existence)
- Solution Techniques:
- Direct Substitution
- L’Hôpital’s Rule
- Factorization and Simplification
- Advanced Analysis:
- Infinite Limits
- Discrete Points and Their Types
- Application Problems
- Applications:
- Physical Modeling (Rate Analysis)
- Daily Life Examples
- Mathematical Analysis
- Affecting Factors:
- Function Type
- Limit Point
- Region of Continuity
Course Features
- Lectures 0
- Quizzes 0
- Duration 5 hours
- Skill level Expert
- Language English
- Students 15
- Assessments Yes
