37.5 Into Real Analysis: Making Limits and Continuity Rigorous
Point 1 of 5
37.5.1 Why Make Limits Rigorous
Core idea
"Getting closer and closer" is too vague, so we have to ask how close and how close can we demand, until there's no room for doubt.
Module goal. Return to the limits you met earlier and use the ε–δ language to say exactly what "getting infinitely close" means, closing out the whole path and opening the door to higher mathematics.
eastmath.com · 37.5 Into Real Analysis: Making Limits and Continuity Rigorous · 37.5.1 Why Make Limits Rigorous