Power Series | Power Series & Interval of Convergence: Example 2

Power Series | Power Series & Interval of Convergence: Example 2

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Science, Mathematics

University

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The video tutorial explains how to determine the interval of convergence for a power series using the root test. It begins with an introduction to the series and discusses why the root test is preferred in this case. The tutorial then walks through the calculation of the limit, evaluates it, and concludes that the series converges for all values of x, resulting in an infinite radius of convergence. The video emphasizes that this is a straightforward case and highlights the significance of the result.

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OPEN ENDED QUESTION

3 mins • 1 pt

What new insight or understanding did you gain from this video?

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