AP Calculus BC Flashcards: Limits At Infinity And Horizontal Asymptotes

Study Limits At Infinity And Horizontal Asymptotes 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

Identify the horizontal asymptote of f(x)=x2x2x+1f(x) = \frac{x^2}{x^2 - x + 1}.

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ANSWER

y=1y = 1. Same degree quadratics: 11=1\frac{1}{1} = 1.

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AP Calculus BC: Limits and Continuity

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What this deck covers

This deck focuses on Limits At Infinity And Horizontal Asymptotes, giving you a quick way to review the definitions, rules, and examples that matter most for AP Calculus BC.

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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
Let t(x)=exex+5t(x)=\dfrac{e^x}{e^x+5}. What is the horizontal asymptote of tt as xx\to\infty?
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