Introduction to limits at infinityFunctions with same limit at infinityLimits at infinity of quotients (Part 1)Limits at infinity of quotients (Part 2)Limits at infinity of quotients with square roots (odd power)Limits at infinity of quotients with square roots (even power)
AP Calc: FUN (BI), FUN‑1 (EU), FUN‑1.A (LO), FUN‑1.A.1 (EK)
Intermediate value theoremWorked example: using the intermediate value theoremJustification with the intermediate value theorem: tableJustification with the intermediate value theorem: equationIntermediate value theorem review
Formal definition of limits Part 1: intuition reviewFormal definition of limits Part 2: building the ideaFormal definition of limits Part 3: the definitionFormal definition of limits Part 4: using the definition
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.
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