Log inSign up

AP Calculus AB Flashcards: Determining Limits Using Algebraic Manipulation

Study Determining Limits Using Algebraic Manipulation in AP Calculus AB with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Evaluate x2−1x−1\frac{x^2 - 1}{x - 1} as xx approaches 1.

Tap card or press Space to flip

ANSWER
  1. Factor: (x−1)(x+1)x−1=x+1\frac{(x-1)(x+1)}{x-1} = x+1, then substitute x=1x = 1.

1 / 35

AP Calculus AB: Limits and Continuity

You are hereDetermining Limits Using Algebraic Manipulation35 cards

All flashcards

35 cards

What this deck covers

This deck focuses on Determining Limits Using Algebraic Manipulation, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus AB.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 50Practice questions for this set
As xx approaches 33, a model uses x2−9x−3\frac{x^2-9}{x-3}; what is lim⁡x→3x2−9x−3\displaystyle\lim_{x\to 3}\frac{x^2-9}{x-3}?
Choose an answer

Keep your progress across every deck

Free account · cards you mark are saved to it