I am currently deriving Taylors for all n. I had to do one for 1/(1-x) and I came up with 1-x+x^2-x^3+x^4 instead of 1+x^2+x^3+x^4+...+x^n. When I take the derivatives of (1-x)^-1 I get F'= -(1-x)^-2 F''= 2(1-x)^3 F'''=-6(1-x)^4. Where am I going wrong?