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Limits and continuity

AP Calc: CHA (BI), CHA‑1 (EU), FUN (BI), FUN‑1 (EU), LIM (BI), LIM‑1 (EU), LIM‑2 (EU)
AP Calc: LIM (BI), LIM‑1 (EU), LIM‑1.A (LO), LIM‑1.A.1 (EK), LIM‑1.B (LO), LIM‑1.B.1 (EK)
AP Calc: LIM (BI), LIM‑2 (EU), LIM‑2.A (LO), LIM‑2.A.1 (EK)
AP Calc: LIM (BI), LIM‑2 (EU), LIM‑2.C (LO), LIM‑2.C.1 (EK), LIM‑2.C.2 (EK)

About this unit

Limits describe the behavior of a function as we approach a certain input value, regardless of the function's actual value there. Continuity requires that the behavior of a function around a point matches the function's value at that point. These simple yet powerful ideas play a major role in all of calculus.