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

  1. Sum/Difference Rule: The limit of a sum (or difference) is the sum (or difference) of the limits:
    Equation showing sum and difference rule
  2. Product Rule: The limit of a product is the product of the limits:
    Equation showing product rule
  3. Quotient Rule: The limit of a quotient is the quotient of the limits, provided the limit of the denominator is not zero:
    Equation showing quotient rule
  4. Constant Multiple Rule: The limit of a constant times a function is the constant times the limit of the function:
    Equation showing constant multiple rule

More Advanced Concepts

Explore more advanced topics such as L'Hôpital's Rule and continuity in our Advanced Limits Page.

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