, c=2
This is what I did:
Now, what do I do next since its centered at c=2??
question: what form for the power series are you trying to use? you are trying to use the fact that , for , am i right?
now look at what we have. does it look like it is in that form? is the constant in the denominator a 1? is it 1 - (some function of x) in the denominator? no it isn't. get it into that form before you make the power series
if c = 0 it means you want your function part to look like (x - 0) which happens to just be x. thus, having that x there (possibly times some constant) is good enough. then, you have the constant in front being a "+1", so we have the form. you would NOT change it to 4 - 3 - 2x, because that is getting away from the form you want, which is , where is some function in . in general, you would want in this case,