SME
Grade 12 Math
Limits, continuity and an introduction to derivatives
The main lesson, then each kind of problem it solves.
Limits, continuity and an introduction to derivatives
Main lesson
One-sided limits and continuity
Use this for “f(x) = x + 1 for x < 2 and 2x − 3 for x ≥ 2. Is f continuous at 2?”
From a secant slope to the derivative
Use this for “Find the slope of the secant of x² from 3 to 3.1, then the derivative at 3.”
Limits at infinity
Use this for “Find the limit of (2x + 1) ÷ (x − 3) as x → ∞.” Other powers of x are on “Limits at infinity by degree.”