So my calculus professor has given us this online assignment on power series, and I can't wrap my head around in for the life of me.
Most of the questions are the same, so I think if I get the process down for one of them, then I'll be able to approach the other ones.
ex. The function f(x)= 4xarctan(2x) is represented as a power series:
(see attached image at the bottom, since I'm not sure on how to input that on the computer)
Find the first few coefficients in the power series.
Find the radius of convergence R of the series.
Any help would be greatly appreciated!!