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Library AP Calculus AB/BC Unit 1: Limits and Continuity
⁂   AP Calculus AB/BC · Unit 1

1. Limits and Continuity

10–12% of the AP exam. Key topics: Average and instantaneous rates of change, Limit evaluation: algebraic, graphical, and tabular approaches, Squeeze Theorem, Continuity at a point and on an interval, Intermediate Value Theorem (IVT), Infinite limits and vertical asymptotes, Limits at infinity and horizontal asymptotes, Removable and non-removable discontinuities.

22 instructional periods 10–12% exam weight AB track

Unit 1: Limits and Continuity

Study guide content for this unit is being prepared. Check back soon for complete lesson notes, formula sheets, and worked examples.

Topics in this unit

  • Average and instantaneous rates of change
  • Limit evaluation: algebraic, graphical, and tabular approaches
  • Squeeze Theorem
  • Continuity at a point and on an interval
  • Intermediate Value Theorem (IVT)
  • Infinite limits and vertical asymptotes
  • Limits at infinity and horizontal asymptotes
  • Removable and non-removable discontinuities

Worked FRQ Solutions

Free-response questions from past AP exams that test this unit's concepts.