AP Calculus AB Flashcards: Removing Discontinuities

Study Removing Discontinuities 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

How do you simplify $f(x) = \frac{x^2 - 1}{x - 1}$ ?

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ANSWER

$x + 1$ , after factoring and canceling $(x-1)$ . Factor $x^2-1=(x-1)(x+1)$ to cancel $(x-1)$ and get $x+1$ .

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AP Calculus AB: Limits and Continuity

Defining Limits and Using Limit Notation36 cards

Determining Limits Using Algebraic Manipulation35 cards

Determining Limits Using the Squeeze Theorem39 cards

Estimating Limit Values from Graphs34 cards

Estimating Limit Values from Tables20 cards

Exploring Types of Discontinuities38 cards

Introducing Calculus35 cards

Limits at Infinity and Horizontal Asymptotes41 cards

You are hereRemoving Discontinuities36 cards

Selecting Procedures for Determining Limits37 cards

Working With the Intermediate Value Theorem30 cards

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What this deck covers

This deck focuses on Removing Discontinuities, 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

For

p(x)=\begin{cases}\dfrac{x^2-5x+6}{x-2},&x\ne2\\1,&x=2\end{cases}

, what value should replace

1

to make

p

continuous at

x=2

Choose an answer

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