Hi I assume this question is quite simple, but I am just not able to crack it.

So I have to find the interval and radius of convergence for the function f(x). I am completely stumped as to how I can transform this into power series representation. All I can think of so far is saying that f(x) = d/dx(some nasty artan function). Is it possible to represent the function, as partial fractions?

f(x) = 5/(2+8(x-1)^2)

All help greatly appreciated.