AP Calculus BC Flashcards: Exploring Types Of Discontinuities

Study Exploring Types Of Discontinuities 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 discontinuity type for $f(x) = \ln(x)$ at $x = 0$ .

Tap card or press Space to flip

ANSWER

Infinite discontinuity. Natural log approaches $-\infty$ as $x$ approaches zero from right.

1 / 37

AP Calculus BC: Limits and Continuity

Defining Limits and Using Limit Notation40 cards

Determining Limits Using Algebraic Manipulation39 cards

Determining Limits Using the Squeeze Theorem34 cards

Estimating Limit Values from Graphs33 cards

Estimating Limit Values from Tables32 cards

You are hereExploring Types of Discontinuities37 cards

Introducing Calculus41 cards

Limits at Infinity and Horizontal Asymptotes36 cards

Removing Discontinuities36 cards

Selecting Procedures for Determining Limits34 cards

Working With the Intermediate Value Theorem27 cards

All flashcards

37 cards

What this deck covers

This deck focuses on Exploring Types Of Discontinuities, 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

Let

r(x)=\begin{cases}x^2,&x\le1\\x^2+2,&x>1\end{cases}

. What type of discontinuity occurs at

x=1

Choose an answer

Keep your progress across every deck

Free account · cards you mark are saved to it