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  3. AP Calculus AB/BC
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Question BankQuestion Bank

Radius and Interval of Convergence of Power Series

Abigail Young

Abigail Young

7 min read

Next Topic - Finding Taylor or Maclaurin Series for a Function
Study Guide Overview

This study guide covers power series, including their radius and interval of convergence. It explains how to use the ratio test to determine these values and how to test the endpoints of the interval of convergence. The guide also provides a practice question and a summary of key concepts related to power series convergence.

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Previous Topic - Lagrange Error BoundNext Topic - Finding Taylor or Maclaurin Series for a Function

Question 1 of 11

Which of the following series is a power series? 🤔

∑n=0∞n22n\sum_{n=0}^{\infty} \frac{n^2}{2^n}∑n=0∞​2nn2​

∑n=0∞(x−2)nn!\sum_{n=0}^{\infty} \frac{(x-2)^n}{n!}∑n=0∞​n!(x−2)n​

∑n=1∞1np\sum_{n=1}^{\infty} \frac{1}{n^p}∑n=1∞​np1​

∑n=1∞(−1)nn\sum_{n=1}^{\infty} \frac{(-1)^n}{n}∑n=1∞​n(−1)n​