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AP Calculus AB

Unit 1: Limits and Continuity

10–12% of exam score
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Limits from graphs, tables and algebra, limits at infinity, the squeeze theorem, continuity and the Intermediate Value Theorem.

Key formula
lim⁡x→cf(x)=f(c)  ⟺  f is continuous at c\lim_{x \to c} f(x) = f(c) \iff f \text{ is continuous at } c

What this unit covers

  • Estimating limits from graphs and tables

  • Algebraic limits and the squeeze theorem

  • Limits at infinity and asymptotes

  • Continuity and the Intermediate Value Theorem