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AP Calculus BC Flashcards: Confirming Continuity Over An Interval

Study Confirming Continuity Over An Interval in AP Calculus BC with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is limx→2(x2−4)/(x−2)\text{lim}_{x \to 2} (x^2 - 4)/(x - 2)?

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ANSWER

The limit is 44, indicating a removable discontinuity. Factor (x−2)(x+2)(x-2)(x+2) and cancel to get lim⁡x→2(x+2)=4\lim_{x \to 2} (x+2) = 4.

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AP Calculus BC: Limits and Continuity

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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 BC.

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 36Practice questions for this set
If pp is polynomial and r(x)=p(x)x2−4r(x)=\dfrac{p(x)}{x^2-4}, which condition ensures rr is continuous on [−3,3][-3,3]?
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