# How do you find the radius of convergence of a power series?

##### 1 Answer

I used to live in Hicksville too, when I was a kid!

To find the radius R of convergence of a power series

and check that

We wanted to find R such that our power series converged for

Note: The word "radius" comes from the ability to use complex numbers for our variable x (and also the coefficients), and saying

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