AP Calculus AB Flashcards: Confirming Continuity Over An Interval

Study Confirming Continuity Over An Interval 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

Find $\text{lim}_{x \to 2} (x^2 - 4)/(x - 2)$ . Is it continuous at $x = 2$ ?

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ANSWER

Limit is $4$ , not continuous without $f(2)$ defined. Use L'Hôpital's rule or factor: limit is $4$ , but function undefined.

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AP Calculus AB: Limits and Continuity

Algebraic Properties of Limits24 cards

You are hereConfirming Continuity over an Interval36 cards

Connecting Infinite Limits and Vertical Asymptotes33 cards

Connecting Multiple Representations of Limits41 cards

Defining Continuity at a Point38 cards

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

All flashcards

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What this deck covers

This deck focuses on Confirming Continuity Over An Interval, 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 38Practice questions for this set

Let

Q(x)=\begin{cases}1-x,&x<1\\0,&x=1\\x-1,&x>1\end{cases}

. Is

Q

continuous at

x=1

, and why?

Choose an answer

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