AP Calculus BC Flashcards: Determining Limits Using The Squeeze Theorem

Study Determining Limits Using The Squeeze Theorem 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

Evaluate the limit of $x^3 \sin(\frac{1}{x})$ as $x \to 0$ using the Squeeze Theorem.

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ANSWER

Bounded by $-|x^3| \leq x^3 \sin(\frac{1}{x}) \leq |x^3|$ , both approach 0.

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AP Calculus BC: Limits and Continuity

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All flashcards

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What this deck covers

This deck focuses on Determining Limits Using The Squeeze Theorem, 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 31Practice questions for this set

\dfrac{\sin x}{x}\le p(x)\le \dfrac{\sin x}{x}+x^2

near

0

, what is

\lim_{x\to 0} p(x)

Choose an answer

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