Calculus 1A — Limits & Continuity
Part 1 of 3. What a limit really is, limits at infinity & asymptotes, continuity, and the Intermediate Value Theorem — every idea computed live.
Calculus is the mathematics of change and motion — how fast something is moving right now, how a curve bends, what value a process is heading toward. The whole subject is built on one deceptively simple idea: the limit. Master limits and the rest of calculus falls into place.
This is part 1 of 3 of Calculus 1. Everything below is live — change any number and the results recompute instantly.
- 01 What a limit really is Explain-it-like-I'm-5: imagine walking toward a doorway. A limit doesn't ask "are you at the door?" — it asks "where are you…
- 02 Limits at infinity & asymptotes ELI5: sometimes we ask where a function heads not toward a point but toward the far horizon — as x runs off to infinity. The answer is a flat line the curve…
- 03 Continuity & the Intermediate Value Theorem ELI5: a function is continuous if you can draw it without lifting your pencil — no holes, no sudden jumps, no breaks. Formally, f is continuous at a point when…
next course: Calculus 1B — The Derivative →