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Unit 10: Infinite Sequences and Series

Radius and Interval of Convergence of Power Series

Find the radius of convergence of a power series with the ratio test, then test both endpoints to get the exact interval where the series converges.

Topic 10.13 · 7 min read

This lesson comes with the AP Calculus BC plan

In this lesson

  1. 01What a power series is
  2. 02Finding the radius with the ratio test
  3. 03The endpoints decide the interval
  4. 04What the radius tells you about the sum
  5. 05Worked examples
  6. 06Where students lose points
  7. 07On the exam

The first units’ lessons are free. The plan opens every lesson, every practice question with worked solutions, your study plan and calendar, for $14.49 a month. Cancel any time.

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