AP Calculus AB Flashcards: Exploring Types Of Discontinuities

Study Exploring Types Of 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

Identify the discontinuity: f(x)=tan(x)f(x) = \tan(x) at x=π2x = \frac{\pi}{2}.

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ANSWER

Infinite discontinuity. Tangent has vertical asymptotes where cosine equals zero.

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AP Calculus AB: Limits and Continuity

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What this deck covers

This deck focuses on Exploring Types Of 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 η(x)=x24x2\eta(x)=\frac{x^2-4}{x-2}, what type of discontinuity does η\eta have at x=2x=2?
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