Determine the nth order Maclaurin polynomial

[~Sam~]

Homework Statement

Determine the nth order Maclaurin polynomial for 1/(1-x)²

Homework Equations

The known Maclaurin polynomial series: 1/(1-x)= 1+x+x²+x³+...+xⁿ +O(xⁿ⁺¹)

The Attempt at a Solution

I tried expanding the bottom to get 1/ (1-2x+x²)) then wrote it in the form to match and got 1/(1-(2x-x²) I then proceded to expand..and got 1+ (2x-x²) + (2x-x²)²...+xⁿ +O(xⁿ⁺¹) can anyone tell me if I got it right? Or am I suppose to be doing something else?

 

[clamtrox]

Seems reasonable. All you need to do is to write it out as a Maclaurin series, that is to group the same powers of x together in a form a_n x^n

Alternatively, using the general Taylor series expansion formula you will have easier time finding the constants a_n.