Page 1: Fundamental Concepts of Limits

This page introduces core concepts of mathematical limits and their properties. The content focuses on horizontal asymptotes and basic limit calculations.

Definition: A horizontal asymptote is a line y=L where L represents the limit of a function as x approaches infinity.

Example: For any integer n, lim(x²) = +∞ as x approaches infinity demonstrates a basic limit property.

Vocabulary:

• Asymptote horizontale: A horizontal line that a function approaches but never reaches
• Limite à droite: Right-hand limit of a function

Highlight: Special attention is given to limits involving:

• Sum operations (+∞ + (-∞))
• Product operations (0 × (±∞))
• Quotient operations ((±∞)/(±∞))