Stage 36 · Limits, Derivatives & Their Applications

36.1.4 The Arithmetic of Limits

36.1 The Art of Approaching: The Idea of a Limit

Point 4 of 5

36.1.4 The Arithmetic of Limits

Core idea

When two quantities each settle toward their own value, their sum, difference, product, and quotient settle right along with them, so you can break a limit into pieces.

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.
eastmath.com · 36.1 The Art of Approaching: The Idea of a Limit · 36.1.4 The Arithmetic of Limits