a) Using a geometric series, find the Taylor expansion of the function f(x) = x/(1+x^2)
b) Use the series found in (a) to obtain the Taylor expansion of ln(1 + x^2)
The Attempt at a Solution
I really don't know where to start; I can't find anything about it in the book, and I don't remember the teacher ever talking about it. I know what Taylor/Mclaurin series are, but what does it mean by the "Taylor expansion"?