Understanding the Properties of Limits 🐸
The concept of limits is fundamental to calculus and mathematical analysis. Here are some key properties of limits that are crucial for understanding their behavior:
Basic Properties
- Sum/Difference Rule: The limit of a sum (or difference) is the sum (or difference) of the limits:
- Product Rule: The limit of a product is the product of the limits:
- Quotient Rule: The limit of a quotient is the quotient of the limits, provided the limit of the denominator is not zero:
- Constant Multiple Rule: The limit of a constant times a function is the constant times the limit of the function:
More Advanced Concepts
Explore more advanced topics such as L'Hôpital's Rule and continuity in our Advanced Limits Page.