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Chapter 2 · Grade 12 Advanced
Limits and Continuity
Limits are the language of calculus — the precise way to talk about what a function is approaching. We build from intuition to the formal definition, then explore continuity and asymptotes.
Lessons
Lesson 1 · G12 2.1
A Brief Preview of Calculus
Tangent lines and the length of a curve.
Open lesson → Lesson 2 · G12 2.2The Concept of Limit
Intuitive understanding through tables and graphs.
Open lesson → Lesson 3 · G12 2.3Computation of Limits
Limit laws and indeterminate forms.
Open lesson → Lesson 4 · G12 2.4Continuity and its Consequences
What it means for a function to be continuous.
Open lesson → Lesson 5 · G12 2.5Limits Involving Infinity Asymptotes
Behaviour at infinity and asymptotes.
Open lesson → Lesson 6 · G12 2.6Formal Definition of the Limit
The epsilon-delta definition.
Open lesson → Lesson 7 · G12 2.7Limits and Loss of Significance Errors
Numerical issues when computing limits.
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