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Marlow Works

AP Calculus AB / Unit 1

Unit 1 · 10–15%

Limits and Continuity

A limit asks what a function approaches, not what it is worth at a single punch of the calculator.

Start first lessonUnit practice

Topics

  • Limits from graphs and tables
  • Algebraic limit laws
  • One-sided limits
  • Continuity
  • Infinite limits and asymptotes

Lessons

Key terms

Original practice

Marlow Works questions. If this unit does not have its own items yet, you will see other questions from the same course.

1 of 1Limits and Continuity · easy · multiple choice

What is lim (x→3) of (x² − 9) / (x − 3)?

Original Marlow Works item — not a College Board question.

Take your time—this is practice, not a test.

Review checklist

  1. 01Say whether you are reading a graph, a table, or an algebraic form.
  2. 02Check both sides when the expression changes definition at a point.
  3. 03Name the type of discontinuity if the limit and value disagree.

Related resources

External links with reuse status. Marlow Works is independent and does not copy restricted exam or textbook material.

  • Official / link only

    AP Calculus AB course page

    Official eight-unit framework and 2027 exam updates.

    College Board · All rights reserved · accessed 2026-10-01

    Open source

  • Reference only — do not copy

    OpenStax College Algebra 2e

    Algebra reference; current terms include noncommercial and AI-ingestion limits.

    OpenStax · Restricted — see publisher page · accessed 2026-10-01

    Open source