What Will You Learn?

• Definition of a Limit: You will understand the formal definition of a limit, which is the core concept of this chapter.
• Limit Notation and Terminology: You will become familiar with limit notation, including the use of symbols such as "lim" and "→," and learn how to interpret and use this notation effectively.
• One-Sided Limits: You will explore the concept of one-sided limits, which help determine if a function approaches a specific value from the left or right side.
• Basic Limit Properties: You will learn essential properties of limits, such as the sum, difference, product, and quotient properties, which are crucial for evaluating limits of functions.
• Evaluating Limits: You will develop skills in evaluating limits using various techniques, including direct substitution, factoring, simplification, and rationalisation.
• Special Limits: You will tackle limits involving trigonometric functions, exponential functions, and logarithmic functions, which often appear in calculus problems.
• Techniques for Solving Limit Problems: You will acquire problem-solving techniques, including L'Hôpital's Rule and the Squeeze Theorem, which help evaluate limits in complex cases.