Stage 36 · Limits, Derivatives & Their Applications
36.1.5 Continuity: Never Lifting the Pen
36.1 The Art of Approaching: The Idea of a Limit
Point 5 of 5
36.1.5 Continuity: Never Lifting the Pen
Core ideaIf your pen never jumps off the paper as you draw, the function's value lands exactly on its limit, and we say f is continuous there.
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.