Question

Asked Jul 26, 2019

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Step 1

We have been given a power series and we are required to find its radius of convergence as well as interval of convergence.

Step 2

We know that the given power series is a geometric series, and a geometric series is convergent when its common ratio is between -1 and 1. Therefore, we can set the condition for convergence of the given power series as:

Step 3

Thus, the radius of convergence of the given power series is 18.

We can now find the interval of convergence by solving this inequ...

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