Stage 36 · Limits, Derivatives & Their Applications
36.1.3 The Limit of a Function at a Point
36.1 The Art of Approaching: The Idea of a Limit
Point 3 of 5
36.1.3 The Limit of a Function at a Point
Core ideaWalk in toward x=a along the curve from both the left and the right, and if the height heads for the same value either way, that value is lim f(x).
Module goal. Build the gut feeling of "getting infinitely close," turning the vague "closer and closer" into a precise, workable language of limits that sets the stage for rates of change.