## Example 8.3.8 (a): Power Series?

Is the geometric series function

*x*a power series? List its center and the radius of convergence. What is each coefficient^{n}*a*?_{n}Yes, the geometric series is a power series centered at *c = 0* with
radius of convergence *r = 1*. Each coefficient
*a _{n} = 1*.

x^{n}f(x) =^{1}/_{1-x}