Find the Maclaurin Series for g(x)= (4)/(4+2x+x^2) and its interval of convergence.
I know the Maclaurin Series usually involves taking derivatives but every other problem I've done so far has had a degree that I've solved to. So, other than the general equation for the Maclaurin Series, I'm not sure what other equation is relevant.
The Attempt at a Solution
At first I thought I might need to use partial fraction decomposition but then I realized the bottom did not factor easily. Do I just start taking derivatives of g(x)? And if so, where do I go from there? I would greatly appreciate a step-by-step breakdown, I think I will understand if someone breaks down the problem. Thanks!