Limit of a Function

Here we introduce the notion of a limit, look at its basic properties and cover the basic methods used in evaluating limits.

• Definition of a limit with some examples and terminology.
• Basic properties, evaluating limits, including "algebra of limits".
• Limit and comparison, including the Squeeze theorem.
• L'Hospital's rule.
• Intuitive evaluation: Finding limits at infinity intuitively and the scale of powers.
• Order of functions, asymptotes (here asymptotes are a bit general and theoretical, for horizontal, vertical and oblique see Asymptotes in Derivative - Theory - Graphing functions).