Finding Power Series Representations by Manipulating 1/(1-x) - Another Ex 1

1/(1-x) - Another Ex 1. Here I illustrate the idea of creating new power series by manipulating known power series.

[jbarstroff]

You give a domain for 1/(1-x), which is |x|<1. Does the domain change when you manipulate the function?

[willsoe]

How do you know that "Given that" part at the top? how did you know that 1/(1-x) = x^n?

[psiera]

what if x = the power series of e^x, so finding the series expression for a series within a series

[alexbaska]

its just a fact, i forget the proof