AP Calculus AB Flashcards: Limits At Infinity And Horizontal Asymptotes

Study Limits At Infinity And Horizontal Asymptotes 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

What is the limit as $x$ approaches infinity for $f(x) = \frac{2x + 1}{3x + 4}$ ?

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ANSWER

$\frac{2}{3}$ . Same degree; ratio of leading coefficients is $\frac{2}{3}$ .

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AP Calculus AB: Limits and Continuity

Defining Limits and Using Limit Notation36 cards

Determining Limits Using Algebraic Manipulation35 cards

Determining Limits Using the Squeeze Theorem39 cards

Estimating Limit Values from Graphs34 cards

Estimating Limit Values from Tables20 cards

Exploring Types of Discontinuities38 cards

Introducing Calculus35 cards

You are hereLimits at Infinity and Horizontal Asymptotes41 cards

Removing Discontinuities36 cards

Selecting Procedures for Determining Limits37 cards

Working With the Intermediate Value Theorem30 cards

All flashcards

41 cards

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 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 20Practice questions for this set

A population of bacteria is modeled by the logistic function

P(t) = \frac{2000}{1 + 49e^{-0.2t}}

, where

t

is time in days. What number does the population approach as time increases without bound?

Choose an answer

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