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AP Calculus BC Flashcards: Lhospitals Rule

Study Lhospitals Rule 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

Find lim⁡x→0tan⁡xx\lim_{{x \to 0}} \frac{\tan x}{x} using L'Hospital's Rule.

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ANSWER
  1. ddx(tan⁡x)=sec⁡2x\frac{d}{dx}(\tan x) = \sec^2 x and ddx(x)=1\frac{d}{dx}(x) = 1, so 11=1\frac{1}{1} = 1.

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AP Calculus BC: Contextual Applications of Differentiation

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What this deck covers

This deck focuses on Lhospitals Rule, 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 50Practice questions for this set
Compute lim⁡x→∞ln⁡xx\displaystyle \lim_{x\to \infty}\frac{\ln x}{\sqrt{x}} describing a slow-growth comparison.
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