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interval of convergence

American  

noun

Mathematics.
  1. an interval associated with a given power series such that the series converges for all values of the variable inside the interval and diverges for all values outside it.


Example Sentences

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To determine the interval of convergence, we use the ratio test.

From Textbooks • Mar. 30, 2016

To find the interval of convergence, we use the ratio test.

From Textbooks • Mar. 30, 2016

The interval of convergence is the single value x = 0 and the radius of convergence is R = 0.

From Textbooks • Mar. 30, 2016

In the following exercises, find the radius of convergence and the interval of convergence for the given series.

From Textbooks • Mar. 30, 2016

We begin by showing how to find a Taylor series for a function, and how to find its interval of convergence.

From Textbooks • Mar. 30, 2016

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