AP Calculus AB Flashcards: Determining Limits Using The Squeeze Theorem

Study Determining Limits Using The Squeeze Theorem 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 limx0x2cos(1x)\lim_{x \to 0} x^2 \cos(\frac{1}{x}) using the Squeeze Theorem.

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ANSWER

00. Since x2x2cos(1x)x2-x^2 \leq x^2 \cos(\frac{1}{x}) \leq x^2 and both bounds approach 00.

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AP Calculus AB: Limits and Continuity

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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 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 16Practice questions for this set
Which of the following is a correct application of the Squeeze Theorem to find limx0x2sin(1x)\lim_{x \to 0} x^2 \sin\left(\frac{1}{x}\right)?
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