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.

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Example Sentences

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interval of convergence

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

Since we are combining these two power series, the interval of convergence of the difference must be the smaller of these two intervals.

From Textbooks ● Mar. 30, 2016

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

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

To determine the interval of convergence for a power series, we typically apply the ratio test.

From Textbooks ● Mar. 30, 2016