AP Calculus BC Flashcards: Power Series Radius Interval Of Convergence

Study Power Series Radius Interval Of Convergence 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

Determine the interval of convergence for $\textstyle\sum_{n=1}^{\infty} \frac{(-1)^n x^n}{n}$ .

Tap card or press Space to flip

ANSWER

$(-1, 1]$ . Alternating series converges at $x = 1$ ; diverges at $x = -1$ .

1 / 48

AP Calculus BC: Infinite Sequences and Series

Determining Absolute or Conditional Convergence33 cards

Finding Taylor Polynomial Approximations of Functions33 cards

Harmonic Series and p-Series30 cards

Integral Test for Convergence33 cards

Lagrange Error Bound41 cards

You are herePower Series: Radius, Interval of Convergence48 cards

Ratio Test for Convergence29 cards

Representing Series as Power Series29 cards

Taylor and Maclaurin Series32 cards

The nth Term Test for Divergence46 cards

Working with Geometric Series35 cards

All flashcards

48 cards

What this deck covers

This deck focuses on Power Series Radius Interval Of Convergence, 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

What is the radius of convergence of

\sum_{n=0}^{\infty}\dfrac{(x-4)^{2n}}{5^n}

Choose an answer

Keep your progress across every deck

Free account · cards you mark are saved to it